ALL INDIA TEST SERIES
|
|
- Della Ami Boyd
- 6 years ago
- Views:
Transcription
1 AITS-CRT-I PCM(S)-JEE(Main)/4 From assroom/integrated School Programs 7 in Top, in Top, 54 in Top, 6 in Top 5 All India Ranks & 4 Students from assroom /Integrated School Programs & 7 Students from All Programs have been Awarded a Rank in JEE (Advanced), FIITJEE ALL INDIA TEST SERIES ANSWERS, HINTS & SOLUTIONS CRT I (Main) JEE(Main)-4 Q. No. PHYSICS CHEMISTRY MATHEMATICS. C D A. B B C. C C C 4. D C B 5. D C A 6. A A B 7. C B C 8. D D D 9. B B A. C A B. C C C. B B B. D B B 4. D A C 5. A B B 6. C B C 7. B B A 8. B D B 9. B B C. B B B. C C C. A C B. D D A 4. B B A 5. B C B 6. C C C 7. D D C 8. B B C 9. C C B. B A C FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
2 AITS-CRT-I PCM(S)-JEE(Main)/4 Physics PART I ohm metre. r L R r L R ohm metre ohm metre 5.7 ohm metre 5.7 m 54 m P 4 P % t. A N e Ae N e e e e t t. tt vo sin 4. At t,v ˆ v cos i g v ˆ ˆ vk gtj v v v kˆ gt ˆj v cos ˆi 5. f a Z b. (D) t 6. dv v d v k mg m k mg vdv m v m k mg o d 7. I ma I min I I I I FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
3 AITS-CRT-I PCM(S)-JEE(Main)/4 I I if I > I 8. Ic sin5t 5 4 /4 5 /4 IL sin5t 5 4 I sin(5t) /4 5 IIc+IL /4 9. mg sin T m(a) T ma mg a g / & T Net force Result of these forces T ˆj T cos6 ˆj T sin 6 ˆi ˆ Ti Tj ˆ mg i ˆ j ˆ 6 As net force in pulley, mg i ˆ ˆ j 6 force by clamp T 6 T. The circuit can be simplified as:,peak current Ampere. 5.4F.H 5 c sin [5t] volts..4f L 5 5. When u decreases v increases. For plane mirror u decreases. the image in plane mirror moves towards the left.. I 4. sin45 sin45 4 R R I I R R 4. V 4 volts 5 volt V volts V V. volt FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
4 AITS-CRT-I PCM(S)-JEE(Main)/ In both cases applying com, mv Mv mv V M V : V 6. In steady state :- E E VP VQ R R E E VQ VS R R V V S P R V V E A R Q CE Q B CE 7. V V P - volts. 8. For the two blocks to move together F F min M m g Mg As min, the two blocks move together. Velocity of the system (M+m) is F v at t M F F P Fv F t t. m M 9. P 4r At mct 4r mct t PA. A b T.. After collision, the rod starts rotating about its centre of mass. Now the torque of mg about the centre of mass, hence is constant. FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
5 5 AITS-CRT-I PCM(S)-JEE(Main)/4. elongation in equilibrium ma cos mgsin k () For elongation from equilibrium mgsin macos k net force k (i) k acc m T m k Mg sin ma θ N K( + ) Mg cos 4 r n n g 6 rv T.. V P T g r n n 9 g 4 r n n g r.n.g r n n n g cm.m 4. k. rad 5. T T P gh P r r T ghr. 6. M G GM 4 GM R 5R 5R 7. The apparent frequency initially decreases & then increases in one time period. 8. GMem GMem E R 4R GMem 6R 9. v u gh 4 h h 8m where h is maimum height reached by ball A v u gt t 4 sec, 8 t ' sec u u A A B u' gt ' m / s A(t4sec) U A h 8 m u' B 4 m / s B 4m/sec u B Thus the speed of each ball gets interchanged (for equal mass & elastic collision) u A u B (Tt+t) FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
6 AITS-CRT-I PCM(S)-JEE(Main)/4 6. T T m r T m r r T m r r Thus T T m T T T Chemistry PART II. M wt C 6 H 5.5 M wt C 6 H 5 CH 9 Given:.5 C6H5 So mass% composition reaction of C 6 H 5 is % C 6 H %. As density increases, volume of gas decreases so intermolecular forces increase and diffisubility decreases.. For 4 n 4, l, m Angular momentum h h h Angular node So total node h h o 5 C Pyrophosphoric acid H PO H P O H O HO P O P OH H O + P H B P O + O + H O OH B B O + P O + H H O + H p p back bonding between B and O and p d back bonding between P and O is possible. K Cr O H SO CrO KHSO H O Chromic anhydride Red Crystal O OH 9. NH behaves as a base and E elimination takes place. FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
7 7 AITS-CRT-I PCM(S)-JEE(Main)/4. OH OH OH C CHO NaOH C H. NaSO AgNO AgSO AgS white black ppt. Tc 8a so Tc ; and b 4 N A V b r 7Rb b. AB type structure in which Zn + is tetrahedrally surrounded by S ion, S is present in half of tetradedral acid. 4. It is an etensive property d B K K t K t A Ke Ke dt K K Fe H O OH H O ksp, Ksp should be high. FeHO 6 H Ka C KaC.5 8. G (net) G G Total e echanged (a + b) G nfe a bfe afe bfe E ae be a b 9. KCrO7 KCrO4 CrO O. O H C C 6 H 5 M PPh H C C 6 H POPh (Wittig reaction) 5. Nitrogen is less electronegative than oygen and on rd reactive site it is sp hybridised. FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
8 AITS-CRT-I PCM(S)-JEE(Main)/4 8. O O O C CH () NaOI COOH CO O. As metallic character increases down the group so acidic nature of oide decreases NH - Ni 4- and Ni 4- NH NH NH Cis Trans 7. 4 As O 5H O AsO H 4e 9. BeO C BeC CO. Only lithium nitride with formula LiN in first group and Mg with Mg N. Mathematics PART III. Since the equations are consistent D (a ) (a ) (a ) (a ) (a ) (a ) Put u (a + ), v a +, w a + u v, v wz, w u u + v + w a + 6 u v w u v w (u v) (v w) (w u) (u + v + w) () () () (a + 6) i.e. a.. 4 n +, so m +,89 k, so 89 p. Hence n 4 is even, So q. 89 4r +, so 89 4t +. Hence l +. So it is 9 +. FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
9 9 AITS-CRT-I PCM(S)-JEE(Main)/4 c 4. Here, tan A + tan B and tan A. tan B ab tan A. tan B tan A cot B A 9 B A + B 9 C 9 sin A a c, sin B b c sin A + sin B + sin C a c b c 5. I I I d 4 5 e d I 5 I. d 4 5 e 6. Since f() and g() are one-one and onto and are also the mirror images of each other with respect to the line y. It clearly indicates that h() f() + g() will be a constant function and will always be equal to Equation of the curve passing through the points A, B, C, D is ( + 4y 4)(4 + y 4) y If it represents a parabola then the quadratic terms must form a perfect square. or 49. r 8. Locus is a hyperbola with eccentricity r r r 9. In an equilateral triangle r R Also eradius r 4R sin A cos B cos C 4R r, R, r are in A.P... R. lim / lim t t / t t dt form dt 4 4 lim 4 5 lim (m + )(n ) n, so if p divides n, then it also divides n and hence also (n ) n(n ) n, and hence also (n ) (n ). So n, ± or ±. But n must be an integer, so,, do not work. gives n and hence m, which is a solution. gives n and hence m, which is a solution. FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
10 AITS-CRT-I PCM(S)-JEE(Main)/4. Two lines can meet in a point 6 C 5 line and circle meet in two points ( 6 C 4 C ) 48. Two circles meet in points 4 C total number of points cos+ cos 6 cos cos cos sin cos, sin 7, and,,,.. is the common value which satisfies both n + (6n + ) ( ) d 4 ( )co t dt (t )cot t Put t d dt du u Let cot t u dt du ln u + c ( t ) ln cot c co t d FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
11 AITS-CRT-I PCM(S)-JEE(Main)/4 7. Let be the period of sin + cosa then sin( + ) + cosa( + ) sin + cosa for all In this identity, putting and, we het sin + cosa and sin + cos solving these equation, we get sin and cosa hence n and a m. Where m, n are non zero integers hence a m n or a m n (since ) 8. A, A A 4 A n then A(I A) n A(I + na) A na A. 9. sin A + sin (5 A) + sin A sin (45 A) + sin45 sin(a 45) +.sin A 45 < and > < A < 5 < A < 7 45 < A 45 < 5 sina 45 sin A sin B.. The curve y c and the circle + y touches each other so c c will have equal roots so ( ) 4c 4c c 4 c. 4 Roots of the equations are 4 y. early distance between the points of contact units. Sum of 7 digits a multiple of 9 Sum of number,,, 4, 5, 6, 7, 8, 9 45 so two left should also have sum of 9. The pair of left numbers is (, 8), (, 7), (, 6), (4, 5). with each pair left number of 7 digit number 7! So with all 4 pairs 4 7!. FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
12 AITS-CRT-I PCM(S)-JEE(Main)/4. Equation of Ist line is y ( ) y and equation of IInd line is + y. early point of intersection is (, ).. The centre c of the circle (5, 7) and the radius PC q PA 5 5 and p PB + 5 G.M of p and q pq P ( 7, ) A C (5, 7) B a, b, c are in G.P b ac and c a + b c a + ac a a c c a c cos B 5 cos B 5 (B is acute) B a c A C b cos A sin B cos B 5 5. y tan From graph it is clear that it will have two real roots, y / / 6. The given equation is p + q r r. Its roots are given,, so we have q r + + ; + + ; r p p p. D. 7. For local maima at R + and minima at certain R the roots of f () are of opposite sign f () < b <. FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
13 AITS-CRT-I PCM(S)-JEE(Main)/4 8. Drawing the curves y log e and y So, number of solutions (, ) (, ) (, ) (, ) 9. Putting c c + z c ac ac f(c)d f(c z)dz c c So, the required value c ac c d c(a ). z z z z z z ( z + z + z ) (z z z z z z z z z z z z ) 6 (zz zz zz zz zz zz ) () Now z + z + z z + z + z + zz zz zz zz zz zz (z z z z z z z z z z z z ) () from () and () maimum value FIITJEE Ltd., FIITJEE House, 9-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -6, Ph 466, , Fa 6594
ALL INDIA TEST SERIES
AITS-CRT-I-PCM (Sol)-JEE(Main)/7 In JEE Advanced 6, FIITJEE Students bag 36 in Top AIR, 75 in Top AIR, 83 in Top 5 AIR. 354 Students from Long Term Classroom/ Integrated School Program & 443 Students from
More informationANSWERS, HINTS & SOLUTIONS HALF COURSE TEST VIII PAPER-2
AIITS-HCT-VIII (Paper-)-PCM(Sol)-JEE(Advanced)/7 In JEE Advanced 06, FIITJEE Students bag 6 in Top 00 AIR, 7 in Top 00 AIR, 8 in Top 00 AIR. 4 Students from Long Term Classroom/ Integrated School Program
More informationALL INDIA TEST SERIES
AITS-FT-I (Paper-)-PCM(Sol)-JEE(Advanced)/5 FIITJEE Students From All Programs have bagged 4 in Top, 66 in Top and 74 in Top 5 All India Ranks. FIITJEE Performance in JEE (Advanced), 4: 5 FIITJEE Students
More informationFIITJEE JEE(Main)
AITS-FT-II-PCM-Sol.-JEE(Main)/7 In JEE Advanced 06, FIITJEE Students bag 6 in Top 00 AIR, 75 in Top 00 AIR, 8 in Top 500 AIR. 54 Students from Long Term Classroom/ Integrated School Program & 44 Students
More informationALL INDIA TEST SERIES
From Classroom/Integrated School Programs 7 in Top 0, 3 in Top 00, 54 in Top 300, 06 in Top 500 All India Ranks & 34 Students from Classroom /Integrated School Programs & 373 Students from All Programs
More informationALL INDIA TEST SERIES
AITS-CRT-I-(Paper-)-PCM (Sol)-JEE(Advanced)/7 In JEE Advanced 06, FIITJEE Students bag 6 in Top 00 AIR, 75 in Top 00 AIR, 8 in Top 500 AIR. 54 Students from Long Term Classroom/ Integrated School Program
More informationANSWERS, HINTS & SOLUTIONS
AIITS-PT-IV-PCM(SOL)-JEE(Main)/6 FIITJEE Students From All Programs have bagged in Top 00, 77 in Top 00 and 05 in Top 500 All India Ranks. FIITJEE Performance in JEE (Advanced), 05: 455 FIITJEE Students
More informationSOLUTIONS SECTION I: CHEMISTRY
P. CH CH CH CH H CH CH CH CH SLUTINS SECTIN I: CHEMISTRY S N NaH yellow I. CH CH CH CH C CH CH CH C Na CHI H H. H Ea 4..9 = loga.r769 Ea. = loga.r667 Ea = 4.7 4 cal mol - CH CH Cl H C CN H C CH 5. Cl h
More informationALL INDIA TEST SERIES
AITS-FT-V-PCM(S)-JEE(Main)/4 Fro Classroo/Integrated School Progras 7 in Top, in Top, 54 in Top, 6 in Top 5 All India Ranks & 4 Students fro Classroo /Integrated School Progras & 7 Students fro All Progras
More informationFIITJEE SOLUTION TO AIEEE-2005 MATHEMATICS
FIITJEE SOLUTION TO AIEEE-5 MATHEMATICS. If A A + I =, then the inverse of A is () A + I () A () A I () I A. () Given A A + I = A A A A + A I = A (Multiplying A on both sides) A - I + A - = or A = I A..
More informationANSWERS, HINTS & SOLUTIONS HALF COURSE TEST VII (Paper - 1) Q. No. PHYSICS CHEMISTRY MATHEMATICS. 1. p); (D q, r) p) (D s) 2.
1 AIITS-HCT-VII (Paper-1)-PCM (Sol)-JEE(Advanced)/16 FIITJEE Students From All Programs have bagged in Top 100, 77 in Top 00 and 05 in Top 500 All India Ranks. FIITJEE Performance in JEE (Advanced), 015:
More informationALL INDIA TEST SERIES
ITS-FT-V-(Paper-) PCM(Sol)-JEE(dvanced)/5 FIITJEE Students From ll Programs have bagged in Top, 66 in Top and 7 in Top 5 ll India Ranks. FIITJEE Performance in JEE (dvanced), : 5 FIITJEE Students from
More informationPART B MATHEMATICS (2) (4) = +
JEE (MAIN)--CMP - PAR B MAHEMAICS. he circle passing through (, ) and touching the axis of x at (, ) also passes through the point () (, ) () (, ) () (, ) (4) (, ) Sol. () (x ) + y + λy = he circle passes
More informationANSWERS, HINTS & SOLUTIONS HALF COURSE TEST VII (Paper-2)
AIITS-HCT-VII-(Paper-)-PCM(S)-JEE(Advanced)/ FIITJEE Students From All Programs have bagged in Top 00, 66 in Top 00 and 7 in Top 00 All India Ranks. FIITJEE Performance in JEE (Advanced), 0: FIITJEE Students
More informationALL INDIA TEST SERIES
From Long Term Classroom Programs and Medium / Short Classroom Program 4 in Top 0, 0 in Top 0, 4 in Top 00, 75 in Top 00, 59 in Top 500 Ranks & 54 t o t a l s e l e c t i o n s i n I I T - J E E 0 FIITJEE
More informationALL INDIA TEST SERIES
1 AITS-FT-I-(Paper-)-PM(Sol)-JEE(Advanced)/16 FIITJEE Students From lassroom / Integrated School Programs have secured to Zonal, 6 State & 18 ity Topper Ranks. in Top 1, 78 in Top and 5 in Top 5 All India
More informationNARAYANA I I T / P M T A C A D E M Y. C o m m o n P r a c t i c e T e s t 05 XII-IC SPARK Date:
1. (A). (C). (B). (B) 5. (A) 6. (B) 7. (B) 8. (A) 9. (A) 1. (D) 11. (C) 1. (B) 1. (A) 1. (D) 15. (B) NARAYANA I I T / P M T A C A D E M Y C o m m o n P r a c t i c e T e s t 5 XII-IC SPARK Date: 9.1.17
More informationALL INDIA TEST SERIES
Frm Classrm/Integrated Schl Prgrams 7 in Tp, in Tp, 5 in Tp, 6 in Tp 5 ll India Ranks & Students frm Classrm /Integrated Schl Prgrams & 7 Students frm ll Prgrams have been warded a Rank in JEE (dvanced),
More informationIMPORTANT QUESTIONS FOR INTERMEDIATE PUBLIC EXAMINATIONS IN MATHS-IB
` KUKATPALLY CENTRE IMPORTANT QUESTIONS FOR INTERMEDIATE PUBLIC EXAMINATIONS IN MATHS-IB 017-18 FIITJEE KUKATPALLY CENTRE: # -97, Plot No1, Opp Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad - 500
More information(iii) For each question in Section III, you will be awarded 4 Marks if you darken only the bubble corresponding to the
FIITJEE Solutions to IIT - JEE 8 (Paper, Code 4) Time: hours M. Marks: 4 Note: (i) The question paper consists of parts (Part I : Mathematics, Part II : Physics, Part III : Chemistry). Each part has 4
More informationPHASE TEST-1 RB-1804 TO 1806, RBK-1802 & 1803 RBS-1801 & 1802 (JEE ADVANCED PATTERN)
PHASE TEST- RB-804 TO 806, RBK-80 & 80 RBS-80 & 80 (JEE ADVANCED PATTERN) Test Date: 0-09-07 [ ] PHASE TEST- (ADV) RB-804-806, RBK-80-80 & RBS-80-80_0.09.07. (B) En = ; Ea = y IP EA IP y EN I.P. y. (A)
More informationQ. No. PHYSICS CHEMISTRY MATHEMATICS
AITS-CRT-I (Paper-)-PCM(Sol)-JEE(Advaced)/5 FIITJEE Studets From All Programs have bagged 4 i Top 00, 66 i Top 00 ad 74 i Top 500 All Idia Raks. FIITJEE Performace i JEE (Advaced), 04: 5 FIITJEE Studets
More informationALL INDIA TEST SERIES
Fom Classoom/Integated School Pogams 7 in Top 0, in Top 00, 54 in Top 00, 06 in Top 500 All India Ranks & 4 Students fom Classoom /Integated School Pogams & 7 Students fom All Pogams have been Awaded a
More informationWBJEEM Answer Keys by Aakash Institute, Kolkata Centre MATHEMATICS
WBJEEM - 05 Answer Keys by, Kolkata Centre MATHEMATICS Q.No. μ β γ δ 0 B A A D 0 B A C A 0 B C A * 04 C B B C 05 D D B A 06 A A B C 07 A * C A 08 D C D A 09 C C A * 0 C B D D B C A A D A A B A C A B 4
More informationNarayana IIT Academy
INDIA Sec: Jr. IIT_N10(CHAINA) JEE-MAIN Date: 7-08-18 Time: 08:00 AM to 11:00 AM CTM- Ma.Marks: 60 KEY SHEET MATHS 1 4 5 6 7 8 9 10 4 4 1 11 1 1 14 15 16 17 18 19 0 4 1 1 4 1 4 5 6 7 8 9 0 4 4 4 1 PHYSICS
More informationANSWERS, HINTS & SOLUTIONS HALF COURSE TEST VII PAPER-2
IITS-HT-VII (Paper-)-PM(Sol)-JEE(dvanced)/7 In JEE dvanced 06, IITJEE Students bag 6 in Top 00 IR, 75 in Top 00 IR, 8 in Top 500 IR. 5 Students from Long Term lassroom/ Integrated School Program & Students
More informationMATHEMATICS. r Statement I Statement II p q ~p ~q ~p q q p ~(p ~q) F F T T F F T F T T F T T F T F F T T T F T T F F F T T
MATHEMATICS Directions : Questions number to 5 are Assertion-Reason type questions. Each of these questions contains two statements : Statement- (Assertion) and Statement- (Reason). Each of these questions
More informationFigure 1 Answer: = m
Q1. Figure 1 shows a solid cylindrical steel rod of length =.0 m and diameter D =.0 cm. What will be increase in its length when m = 80 kg block is attached to its bottom end? (Young's modulus of steel
More informationFIITJEE Solutions to AIEEE PHYSICS
FTJEE Solutions to AEEE - 7 -PHYSCS Physics Code-O 4. The displacement of an object attached to a spring and executing simple harmonic motion is given by x = cos πt metres. The time at which the maximum
More informationANSWERS, HINTS & SOLUTIONS PART TEST I PAPER-2 ANSWERS KEY
AITS-PT-I (Paper-)-PCM-JEE(Advaced)/8 FIITJEE JEE(Advaced)-8 ANSWERS, HINTS & SOLUTIONS PART TEST I PAPER- ANSWERS KEY Q. No. PHYSICS Q. No. CHEMISTRY Q. No. MATHEMATICS ALL INDIA TEST SERIES. D. B 7.
More informationFIITJEE Talent Reward Exam
FIITJEE Talent Reward Eam PAPER Time: Hours Instructions: for student presently in Class 11 CODE A11 A Maimum Marks: 70 Caution: Question Paper CODE as given above MUST be correctly marked in the answer
More informationPGT Mathematics. 1. The domain of f(x) = is:-
PGT Mathematics 1. The domain of f(x) = is:- a. (-2, + ) b. R-{-1, -2, -3} c. (-3, + )-{-1, -2} d. R-{-1, -2} 2. If f is a function such that f(0) = 2, f(1) = 3 & f(x+2) = 2f(x)-f(x + 1) for every real
More informationObjective Mathematics
Chapter No - ( Area Bounded by Curves ). Normal at (, ) is given by : y y. f ( ) or f ( ). Area d ()() 7 Square units. Area (8)() 6 dy. ( ) d y c or f ( ) c f () c f ( ) As shown in figure, point P is
More informationHSC - BOARD MATHEMATICS (40) - SOLUTIONS
Date: 8..5 Q. (A) SECTION - I (i) (d) A () (ii) (c) A A I 6 6 6 A I 64 I I A A 6 (iii) (a) fg cos A cos HSC - BOARD - 5 MATHEMATICS (4) - SOLUTIONS cos cos ch () hy g fy c...(i) Comparing with A Hy By
More information150 with positive x-axis and passing through
` KUKATPALLY CENTRE IPE MAT IB Important Questions FIITJEE KUKATPALLY CENTRE: # -97, Plot No, Opp Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad - 5 7 Ph: 4-6463 Regd Off: 9A, ICES House, Kalu Sarai,
More informationMULTIPLE CHOICE QUESTIONS SUBJECT : MATHEMATICS Duration : Two Hours Maximum Marks : 100. [ Q. 1 to 60 carry one mark each ] A. 0 B. 1 C. 2 D.
M 68 MULTIPLE CHOICE QUESTIONS SUBJECT : MATHEMATICS Duration : Two Hours Maimum Marks : [ Q. to 6 carry one mark each ]. If sin sin sin y z, then the value of 9 y 9 z 9 9 y 9 z 9 A. B. C. D. is equal
More informationQuestion number 1 to 8 carries 2 marks each, 9 to 16 carries 4 marks each and 17 to 18 carries 6 marks each.
IIT-JEE5-PH- FIITJEE Solutions to IITJEE 5 Mains Paper Time: hours Physics Note: Question number to 8 carries marks each, 9 to 6 carries marks each and 7 to 8 carries 6 marks each. Q. A whistling train
More informationMathematics Extension 2
0 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics Etension General Instructions Reading time 5 minutes Working time hours Write using black or blue pen Black pen is preferred Board-approved calculators
More informationMENTORS EDUSERV SCHOLASTIC APTITUDE TEST (ME-SAT) SAMPLE TEST PAPER
MENTORS EDUSERV SCHOLASTIC APTITUDE TEST (ME-SAT) SAMPLE TEST PAPER [For Students presently in Class 11 going to Class 1 in 019] (Stream: Engineering) Time : hours Maximum Marks: 19 DO NOT BREAK THE SEALS
More informationMATHEMATICS (SET -3) Labour cost Z 300x 400y (to be minimized) The constraints are: SECTION - A 1. f (x) is continuous at x 3 f (3) lim f (x)
8 Class th (SET -) BD PPER -7 M T H E M T I C S () SECTION -. f () is continuous at f () lim f () ( ) 6 k lim ( )( 6) k lim ( ) k. adj I 8 I 8 I 8I 8. P : z 5 5 P : 5 5z z 8 Distance between P & P sin
More informationComplete Syllabus of Class XI & XII
Regd. Office : Aakash Tower, 8, Pusa Road, New Delhi-0005 Ph.: 0-7656 Fa : 0-767 MM : 0 Sample Paper : Campus Recruitment Test Time : ½ Hr. Mathematics (Engineering) Complete Syllabus of Class XI & XII
More informationIIT JEE Maths Paper 2
IIT JEE - 009 Maths Paper A. Question paper format: 1. The question paper consists of 4 sections.. Section I contains 4 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for
More informationNarayana IIT Academy
INDIA Sec: Sr. IIT_IZ RPTA-6 Date:8--7 Time: : PM to 5: PM 6_P Max.Marks: 86 KEY SHEET PHYSICS D D B C 5 A 6 B 7 C 8 ABC 9 BD AD ABD BCD ABCD ABD 5 A 6 A 7 A 8 D CHEMISTRY 9 D C D C D D 5 ABD 6 ABD 7 ABCD
More informationNarayana IIT Academy
INDIA Sec: Jr IIT_IZ CUT-18 Date: 18-1-17 Time: 07:30 AM to 10:30 AM 013_P MaxMarks:180 KEY SHEET PHYSICS 1 ABCD ACD 3 AC 4 BD 5 AC 6 ABC 7 ACD 8 ABC 9 A 10 A 11 A 1 C 13 B 14 C 15 B 16 C 17 A 18 B 19
More informationJEE MAIN 2013 Mathematics
JEE MAIN 01 Mathematics 1. The circle passing through (1, ) and touching the axis of x at (, 0) also passes through the point (1) (, 5) () (5, ) () (, 5) (4) ( 5, ) The equation of the circle due to point
More informationGOVERNMENT OF KARNATAKA KARNATAKA STATE PRE-UNIVERSITY EDUCATION EXAMINATION BOARD SCHEME OF VALUATION. Subject : MATHEMATICS Subject Code : 35
GOVERNMENT OF KARNATAKA KARNATAKA STATE PRE-UNIVERSITY EDUCATION EXAMINATION BOARD II YEAR PUC EXAMINATION MARCH APRIL 0 SCHEME OF VALUATION Subject : MATHEMATICS Subject Code : 5 PART A Write the prime
More informationJEE Main 2017 Answers & Explanations
Test Booklet Code A JEE Main 7 Answers & Eplanations Physics Chemistry M athematics 6 6 6 76 7 7 6 77 8 8 6 78 9 9 6 79 5 5 5 65 8 6 6 5 66 8 7 7 5 67 8 8 8 5 68 8 9 9 5 69 8 5 55 7 85 6 56 7 86 7 57 7
More informationNarayana IIT Academy INDIA Sec: Sr. IIT-IZ GTA-7 Date: Time: 02:00 PM to 05:00 PM 2012_P2 Max.Marks:198
Narayana IIT Academy INDIA Sec: Sr. IIT-IZ GTA-7 Date: --7 Time: : PM to 5: PM _P Max.Marks:98 KEY SHEET PHYSICS D C D 4 A 5 A 6 A 7 A 8 C 9 C A A C D 4 5 AC 6 A 7 C 8 AD 9 ACD D CHEMISTY D A 4 A 5 6 C
More information63487 [Q. Booklet Number]
WBJEE - 0 (Answers & Hints) 687 [Q. Booklet Number] Regd. Office : Aakash Tower, Plot No., Sector-, Dwarka, New Delhi-0075 Ph. : 0-7656 Fa : 0-767 ANSWERS & HINTS for WBJEE - 0 by & Aakash IIT-JEE MULTIPLE
More informationMATHEMATICS (SET -1)
8 Class th (SET ) BD PPER -7 M T H E M T I C S (). adj 8 I 8 I 8I 8 SECTION - I. f () is continuous at f () lim f () ( ) 6 k lim ( )( 6) k lim ( ) k sin cos d tan cot d sin cos ln sec ln sin C.. P : z
More informationVidyamandir Classes SOLUTIONS. Joint Entrance Exam IITJEE-2018 Paper Code - B. 8th April AM PM. VMC/JEE Mains Solutions
SOLUTIONS Joint Entrance Exam IITJEE-08 Paper Code - B 8th April 07 9.0 AM.0 PM VMC/JEE Mains-08 Solutions Joint Entrance Exam JEE Mains 08 PART-A PHYSICS.() For collision with deuterium: mv o mv mv (Conservation
More informationALL INDIA TEST SERIES
FIITJEE JEE (Advanced)-018 PART TEST I Paper ALL INDIA TEST SERIES Time Allotted: 3 Hours Maimum Marks: 31 Pleas e r ead th e instructions carefully. You are allotted 5 minutes specifically for this purpose.
More informationQ.2 A, B and C are points in the xy plane such that A(1, 2) ; B (5, 6) and AC = 3BC. Then. (C) 1 1 or
STRAIGHT LINE [STRAIGHT OBJECTIVE TYPE] Q. A variable rectangle PQRS has its sides parallel to fied directions. Q and S lie respectivel on the lines = a, = a and P lies on the ais. Then the locus of R
More informationy mx 25m 25 4 circle. Then the perpendicular distance of tangent from the centre (0, 0) is the radius. Since tangent
Mathematics. The sides AB, BC and CA of ABC have, 4 and 5 interior points respectively on them as shown in the figure. The number of triangles that can be formed using these interior points is () 80 ()
More informationFIITJEE - JEE (Main) SAMPLE TEST - 1. Important Instructions: Maximum Marks: 360. Time Allotted: 3 Hours. Name of the Candidate (in Capital Letters) :
FIITJEE - JEE (Main) SAMPLE TEST - Time Allotted: Hours Maximum Marks: 60 Do not open this Test Booklet until you are asked to do so. Please read the instructions carefully. You are allotted 5 minutes
More informationTime : 3 hours 02 - Mathematics - July 2006 Marks : 100 Pg - 1 Instructions : S E CT I O N - A
Time : 3 hours 0 Mathematics July 006 Marks : 00 Pg Instructions :. Answer all questions.. Write your answers according to the instructions given below with the questions. 3. Begin each section on a new
More informationa b b a 182. Possible values of (a, b, c) Permutation 3 2 = = = 6 = 3 = = 6 = 1
FIITJEE Solutions to PRMO-017 1. How many positive integers less than 1000 have the property that the sum of the digits of each Sol. such number is divisible by 7 and the number itself is divisible by?
More informationSOLUTIONS. 1. Since each compete two times with each other, hence boys Vs Boys total plays =
Mathematics SOLUTIONS 1. Since each compete two times with each other, hence boys Vs Boys total plays =. m c Boys Vs Girls total plays = 4m As per given condition. m c = 84 + 4m m 5m 84 = 0 m 1m + 7m 84
More informationMathematics Extension 1
NORTH SYDNEY GIRLS HIGH SCHOOL 05 TRIAL HSC EXAMINATION Mathematics Etension General Instructions Reading Time 5 minutes Working Time hours Write using black or blue pen Black pen is preferred Board approved
More informationMathematics Extension 1
013 HIGHER SCHL CERTIFICATE EXAMINATIN Mathematics Etension 1 General Instructions Reading time 5 minutes Working time hours Write using black or blue pen Black pen is preferred Board-approved calculators
More informationMODEL SOLUTIONS TO IIT JEE 2012
MDEL SLUTINS T IIT JEE Paper II Code PAT I 6 7 8 B A D C B C A D 9 C D B C D A 6 7 8 9 D A, C A, C A, B, C B, D A, B π. A a a kˆ a π kˆ π M Ι A a Ιkˆ Section I. Let V m volume of material of shell V w
More informationSAMPLE TEST - 3. Time Allotted: 3 Hours Maximum Marks: 360
FIITJEE - JEE (Main) SAMPLE TEST - Time Allotted: Hours Maimum Marks: 60 Do not open this Test Booklet until you are asked to do so. Please read the instructions carefully. You are allotted 5 minutes specifically
More informationMODEL SOLUTIONS TO IIT JEE 2012
MDEL SLUTINS T IIT JEE Paper II Code PAT I 7 8 B D D A B C A D 9 B C B C D A 7 8 9 D A, C A, C A, B, C B, D A, B. A a a kˆ a kˆ M Ι A a Ιkˆ. ρ cg wρg ρg ρ cg w ρg Section I w ρc w ρ w ρ c If ρ c
More informationThe region enclosed by the curve of f and the x-axis is rotated 360 about the x-axis. Find the volume of the solid formed.
Section A ln. Let g() =, for > 0. ln Use the quotient rule to show that g ( ). 3 (b) The graph of g has a maimum point at A. Find the -coordinate of A. (Total 7 marks) 6. Let h() =. Find h (0). cos 3.
More information02. If (x, y) is equidistant from (a + b, b a) and (a b, a + b), then (A) x + y = 0 (B) bx ay = 0 (C) ax by = 0 (D) bx + ay = 0 (E) ax + by =
0. π/ sin d 0 sin + cos (A) 0 (B) π (C) 3 π / (D) π / (E) π /4 0. If (, y) is equidistant from (a + b, b a) and (a b, a + b), then (A) + y = 0 (B) b ay = 0 (C) a by = 0 (D) b + ay = 0 (E) a + by = 0 03.
More informationPROGRESS TEST-2 RB , RBK-1806 RBS-1803 (JEE ADVANCED PATTERN)
PROGRESS TEST- RB-83-84, RBK-806 RBS-803 (JEE ADVANCED PATTERN) Test Date: 6-09-07 [ ] PT-II (ADV) RB-83-84, RBK-806 & RBS-803_6.09.07. (A). (C) v 3v 3 m / s in downward direction B 3. (A) g 5 A PHYSICS
More informationt = 1 sec After t = 1 sec, the ball will be again caught by the man. H =
NSE-07-8-Physics-. Motion of a particle in a plane is described by the non-orthogonal set of coordinates (p, q) with unit vectors ˆ ˆ (p,q) inclined at an angle as shown in the diagram. If the mass of
More informationMathematics Extension 2
0 HIGHER SCHL CERTIFICATE EXAMINATIN Mathematics Etension General Instructions Reading time 5 minutes Working time hours Write using black or blue pen Black pen is preferred Board-approved calculators
More informationXYZ. 1. Immediately fill in the particulars on this page of the Test Booklet with Blue/Black Ball Point Pen. Use of pencil is strictly prohibited.
FIITJEE JEE(MAIN)- XYZ PAPER : CHEMISTRY, MATHEMATICS & PHYSICS Read carefully the Instructions on the Back Cover of this Test Booklet. Important Instructions: Test Booklet Code Q. Immediately fill in
More informationALL INDIA TEST SERIES
AITS-FT-IV-(Pper-)-PCM(S)-JEE(Advnced)/4 From Clssroom/Integrted School Progrms 7 in Top 0, 3 in Top 00, 54 in Top 300, 06 in Top 500 All Indi Rnks & 34 Students from Clssroom /Integrted School Progrms
More informationSAMPLE TEST - 1. Time Allotted: 3 Hours Maximum Marks: 360
FIITJEE - JEE (Main) SAMPLE TEST - Time Allotted: Hours Maximum Marks: 60 Do not open this Test Booklet until you are asked to do so. Please read the instructions carefully. You are allotted 5 minutes
More informationPRACTICE PAPER 6 SOLUTIONS
PRACTICE PAPER 6 SOLUTIONS SECTION A I.. Find the value of k if the points (, ) and (k, 3) are conjugate points with respect to the circle + y 5 + 8y + 6. Sol. Equation of the circle is + y 5 + 8y + 6
More informationTHE NCUK INTERNATIONAL FOUNDATION YEAR (IFY) Further Mathematics
IFYFM00 Further Maths THE NCUK INTERNATIONAL FOUNDATION YEAR (IFY) Further Mathematics Examination Session Summer 009 Time Allowed hours 0 minutes (Including 0 minutes reading time) INSTRUCTIONS TO STUDENTS
More informationPREPARED BY: ER. VINEET LOOMBA (B.TECH. IIT ROORKEE) 60 Best JEE Main and Advanced Level Problems (IIT-JEE). Prepared by IITians.
www. Class XI TARGET : JEE Main/Adv PREPARED BY: ER. VINEET LOOMBA (B.TECH. IIT ROORKEE) ALP ADVANCED LEVEL PROBLEMS Straight Lines 60 Best JEE Main and Advanced Level Problems (IIT-JEE). Prepared b IITians.
More informationHIGHER SCHOOL CERTIFICATE EXAMINATION MATHEMATICS 4 UNIT (ADDITIONAL) Time allowed Three hours (Plus 5 minutes reading time)
N E W S O U T H W A L E S HIGHER SCHOOL CERTIFICATE EXAMINATION 996 MATHEMATICS 4 UNIT (ADDITIONAL) Time allowed Three hours (Plus 5 minutes reading time) DIRECTIONS TO CANDIDATES Attempt ALL questions.
More informationCHAPTER 11 Vector-Valued Functions
CHAPTER Vector-Valued Functions Section. Vector-Valued Functions...................... 9 Section. Differentiation and Integration of Vector-Valued Functions.... Section. Velocit and Acceleration.....................
More informationMAS153/MAS159. MAS153/MAS159 1 Turn Over SCHOOL OF MATHEMATICS AND STATISTICS hours. Mathematics (Materials) Mathematics For Chemists
Data provided: Formula sheet MAS53/MAS59 SCHOOL OF MATHEMATICS AND STATISTICS Mathematics (Materials Mathematics For Chemists Spring Semester 203 204 3 hours All questions are compulsory. The marks awarded
More information2013 Applied Mathematics Mechanics. Advanced Higher. Finalised Marking Instructions
0 Applied Mathematics Mechanics Advanced Higher Finalised ing Instructions Scottish Qualifications Authority 0 The information in this publication may be reproduced to support SQA qualifications only on
More informationQUESTION PAPER CODE 65/2/2/F EXPECTED ANSWER/VALUE POINTS
QUESTION PAPER CODE EXPECTED ANSWER/VALUE POINTS SECTION A. P 6 (A A ) P 6 9. (a b c) (a b c) 0 a b c (a b b c c a) 0 a b b c c a. a b sin θ a b cos θ 400 b 4 4. x z 5 or x z 5 mark for dc's of normal
More informationSolution to phys101-t112-final Exam
Solution to phys101-t112-final Exam Q1. An 800-N man stands halfway up a 5.0-m long ladder of negligible weight. The base of the ladder is.0m from the wall as shown in Figure 1. Assuming that the wall-ladder
More informationSOLUTIONS TO CONCEPTS CHAPTER 2
SOLUTIONS TO CONCPTS CHAPTR 1. As shown in the figure, The angle between A and B = 11 = 9 A = and B = 4m Resultant R = A B ABcos = 5 m Let be the angle between R and A 4 sin9 = tan 1 = tan 1 (4/) = 5 4cos9
More informationObjective Mathematics
. A tangent to the ellipse is intersected by a b the tangents at the etremities of the major ais at 'P' and 'Q' circle on PQ as diameter always passes through : (a) one fied point two fied points (c) four
More informationMATHEMATICS. metres (D) metres (C)
MATHEMATICS. If is the root of the equation + k = 0, then what is the value of k? 9. Two striaght lines y = 0 and 6y 6 = 0 never intersect intersect at a single point intersect at infinite number of points
More informationMath Bank - 6. What is the area of the triangle on the Argand diagram formed by the complex number z, -iz, z iz? (a) z 2 (b) 2 z 2
Math Bank - 6 Q.) Suppose A represents the symbol, B represents the symbol 0, C represents the symbol, D represents the symbol 0 and so on. If we divide INDIA by AGRA, then which one of the following is
More informationPractice Set for IIT JEE. Paper I
Objective Questions I [Only one correct option] Practice Set for IIT JEE Paper I Q 1. The number of lines in the xy-plane, Whose distance from (-1, 2) is 2 and from (2, 6) is 3, is a. 2 b. 3 c. 4 d. None
More informationEngineering Mechanics
2019 MPROVEMENT Mechanical Engineering Engineering Mechanics Answer Key of Objective & Conventional Questions 1 System of forces, Centoriod, MOI 1. (c) 2. (b) 3. (a) 4. (c) 5. (b) 6. (c) 7. (b) 8. (b)
More informationVidyamandir Classes SOLUTIONS JEE Entrance Examination - Advanced Paper-2
SOLUTIONS 8-JEE Entrance Eamination - Advanced Paper- PART-I PHYSICS.(ABD).(ACD) K dk t dk t dt dt t t t K mv v t v t ( B is correct) m dv a F constant (A is correct) dt m As the force is constant, its
More informationD In, RS=10, sin R
FEBRUARY 7, 08 Invitational Sickles The abbreviation NOTA means None of These Answers and should be chosen if choices A, B, C and D are not correct Solve for over the Real Numbers: ln( ) ln() The trigonometric
More informationJEE (Advanced) 2018 MATHEMATICS QUESTION BANK
JEE (Advanced) 08 MATHEMATICS QUESTION BANK Ans. A [ : a multiple of ] and B [ : a multiple of 5], then A B ( A means complement of A) A B A B A B A B A { : 5 0}, B {, }, C {,5}, then A ( B C) {(, ), (,
More informationMATHEMATICS SOLUTION
MATHEMATICS SOLUTION MHT-CET 6 (MATHEMATICS). (A) 5 0 55 5 9 6 5 9. (A) If the school bus does not come) (I will not go to school) ( I shall meet my friend) (I shall go out for a movie) ~ p ~ q r s ~ p
More informationANSWER KEY 1. [A] 2. [C] 3. [B] 4. [B] 5. [C] 6. [A] 7. [B] 8. [C] 9. [A] 10. [A] 11. [D] 12. [A] 13. [D] 14. [C] 15. [B] 16. [C] 17. [D] 18.
ANSWER KEY. [A]. [C]. [B] 4. [B] 5. [C] 6. [A] 7. [B] 8. [C] 9. [A]. [A]. [D]. [A]. [D] 4. [C] 5. [B] 6. [C] 7. [D] 8. [B] 9. [C]. [C]. [D]. [A]. [B] 4. [D] 5. [A] 6. [D] 7. [B] 8. [D] 9. [D]. [B]. [A].
More informationMathematics Extension 2
009 TRIAL HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics Etension General Instructions o Reading Time- 5 minutes o Working Time hours o Write using a blue or black pen o Approved calculators may be
More informationMATHEMATICS EXTENSION 2
Sydney Grammar School Mathematics Department Trial Eaminations 008 FORM VI MATHEMATICS EXTENSION Eamination date Tuesday 5th August 008 Time allowed hours (plus 5 minutes reading time) Instructions All
More informationNarayana IIT Academy
INDI Sec: LT-IIT-SPRK Jee-dvanced Date: -3-8 Time: 3. 4_P MODEL Ma.Marks:8 KEY SHEET RPT-4 PHYSICS,B,C,D,B,C,D 3 B,C 4,C,D 5,B,C 6,B,C,D 7,B,C,D 8,B,C,D 9,B,C,D,B,D 6 4 3 5 4 4 5 3 6 3 7 6 8 4 9 5 8 CHEMISTRY,C,D,C
More information12 th IIT 13 th May Test paper-1 Solution
1 th IIT 13 th May Test paper-1 Solution Subject-PHYSICS Part : 1 SECTION-A (NEXT TEN QUESTIONS: SINGLE CHOICE ONLY ONE CORRECT ANSWER) Q1 In a capillary tube placed inside the liquid of density ( ) in
More informationCHAPTER-1. SETS. Q.4 Write down the proper subsets of { a, b, Q.5 Write down the power set of { 5,6,7 }? Verify the following result :
CHAPTER-. SETS Q. Write the following sets in roster form (i) A = { : is an integer and 5 5 } (ii) B = { : is a natural number and < < 4} (iii) C= { : is a two- digit natural number such that sum of digit
More information38. The total number of carboxylic acid groups in the product P is 38. [2] O C HO 3 O C C O C O C O. Total no. of carboxylic group = 2
(6) Vidyalankar : IIT JEE 0 Advanced : Question Paper & Solution 8. The total number of carboxylic acid groups in the product P is 8. [] C.... + H Heat C Total no. of carboxylic group = C C H 9. A tetrapeptide
More informationNARAYANA I I T / N E E T A C A D E M Y. C o m m o n P r a c t i c e T e s t 1 3 XI-IC SPARK Date: PHYSICS CHEMISTRY MATHEMATICS
. (C). (C) 3. (A) 4. (B) 5. (C) 6. (A) 7. (B) 8. (A) 9. (B) 0. (B). (D). (D) 3. (A) 4. (C) 5. (D) NARAYANA I I T / N E E T A C A D E M Y XIS-IC-IIT-SPARK (8..7) C o m m o n P r a c t i c e T e s t 3 XI-IC
More informationBoard Answer Paper: MARCH 2014
Board Answer Paper: MARCH 04 and Statistics SECTION I Q.. (A) Select and write the correct answer from the given alternatives in each of the following: i. (C) Let l 0, m 3, n be the direction cosines of
More informationMemory Based Questions & Solutions
PAPER- (B.E./B. TECH.) JEE (Main) 09 COMPUTER BASED TEST (CBT) Memory Based Questions & Solutions Date: 09 April, 09 (SHIFT-) TIME : (9.0 a.m. to.0 p.m) Duration: Hours Ma. Marks: 60 SUBJECT : MATHEMATICS
More information