PADASALAI CENTUM COACHING TEAM 10 TH MATHS FULL PORTION ONE MARKS ONLY

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Mildred Payne
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1 PADASALAI CENTUM COACHING TEAM 10 TH MATHS FULL PORTION ONE MARKS ONLY CHOOSE THE CORRECT ANSWER 100 X 1 = If ACB, then A is (a) B (b) A \ B (c) A (d) B \ A 2. If n(a) = 20, n(b) = 30 and n(aub) = 40 then n(a B) is equal to (a) 50 (b) 10 (c) 40 (d) 70 3.If A = { 5,6,7 } B = { 1, 2, 3, 4, 5} and f: A B is defined by f(x)= x - 2 then the range of f is (a) { 1, 4, 5} (b) { 1, 2, 3, 4, 5 } (c) { 2, 3, 4 } (d) { 3, 4, 5 } 4. If f(x) = x then f(-4) = (a) 26 (b) 21 (c) 20 (d) If the range of a function is a singleton function set, then it is (a) a constant function (b) an identity function (c) a bijective function (d) an one one function 6. IF {(x,2),(4,y)} represent an identity function, then (x, y) is (a) (2,4) (b) ( 4,2) (c) (2,2) (d) (4,4) 7. If a, b, c, l, m are in A.P then the value of a-4b+6c-4l+m is (a) 1 (b) 2 (c) 3 (d) 0 8. If a,b,c are in an A.P then is equal to (a) (b) (c) (d) 1 9. If a 1, a 2, a 3 are in A.P such that = then 13 th term is (a) (b) 0 (c) 12a 1 (d) 14a 1 10If k+2, 4k-6,3k-2 are the three consecutive terms of an A.P then the value of k is (a) 2 (b) 3 (c) 4 (d) 5 11.If the third term of a G.P is 2, then the product of first 5 terms is (a) 5 2 (b) 2 5 (c) 10 (d) If a, b, c are in G.P then is equal to (a) (b) (c) (d) 13. In a G.P t 2 = and t 3 = then the common ratio is (a) (b) (c) 1 (d) If the n th term of an A.P is t n = 3-5n, then the sum of the first n terms is (a) (b) n(1-5n) (c) (d) 15. The common ratio of the G.P a m - n, a m, a m + n is (a) a m (b) a -m (c) a n (d) a -n 16. If n then n 3 is equal to (a) k 2 (b) k 3 (c) (d) (k+1) The 8 th term of the sequence 1, 1, 2, 3, 5, 8, is (a) 25 (b) 24 (c) 23 (d) If x then 1+secx+sec 2 x+sec 3 x+sec 4 x+sec 5 x is equal to (a) (1+secx)( sec 2 x+sec 3 x+sec 4 x) (b ) (1+secx)( sec 2 x+sec 4 x) (c) (1-secx) (secx+sec 3 x+sec 5 x) (d) (1+secx)(1+sec 3 x+sec 4 x) 19. If the system 6x-2y = 3, kx-y =2 has a unique solution then (a) k = 3 (b) k (c) k = 4 (d) k

2 20. If one zero of the polynomial p(x) = (k+4) x 2 +13x+3k is reciprocal of the other, then k is equal to (a) 2 (b) 3 (c) 4 (d) The sum of two zeros of the polynomial f(x) = 2x 2 +(p+3) x+ 5 is zero, then the value of p is (a) 3 (b) 4 (c) -3 (d) The system of equation x- 4y = 8, 3x-12y = 24 (a) has infinitely many solutions (c) has a unique solution (b) has no solution (d) may or may not have a solution 23. The quotient when x 3-5x 2 +7x-4 is divided by x-1 is (a) x 2 +4x+3 (b) x 2-4x+3 (c) x 2-4x-3 (d) x 2 +4x The G.C.D Of x 2-2xy+y 2 and x 4 -y 4 is (a) 1 (b) x + y (c) x - y (d) x 2 - y If x 2 +bx+c=0 has equal roots, then c is equal (a) (b) (c) (d) 26. A quadratic equation whose one root is 3 is (a) x 2-6x-5=0 (b) x 2 +6x-5=0 (c) x 2-5x-6=0 (d) x 2-5x+6=0 27. If the roots of ax 2 +bx+c = 0 then one of the quadratic equations whose roots are is (a) ax 2 +bx+c =0 (b) bx 2 +ax+c = 0 (c) cx 2 +bx+a= 0 (d) cx 2 +ax+b= Let b= a + c then the equation ax 2 +bx+c = 0 has equal roots, if (a) a=c (b) a= -c (c) a = 2c (d) a = -2c 29. The remainder when x 2-2x+7 is divided by x+4 is (a) 28 (b) 29 (c) 30 (d) On dividing by is equal to (a) (x-5)(x-3) (b) (x-5)(x+3) (c) (x+5)(x-3) (d) (x+5)(x+3) 31. If a matrix is of order 2x3 then the number of elements in the matrix is (a) 5 (b) 6 (c) 2 (d) If A is of order 3x4 and B is of order 4x3 then the order of BA is (a) 3 x 3 (b) 4 x 4 (c) 4 x 3 (d) not defined 33. If then the values of x and y respectively are (a) 2, 0 (b) 0, 2 (c) 0, -2 (d) 1, If A = then B is (a) (b) (d) 35. If, then the value of a is (a) 8 (b) 4 (c) 2 (d) If A = [a ij ] and a ij = i +j, then A = (a) (b) (c) (d) 37. If ( 5 x 1 ) = ( 20 ) then value of x is (a) 7 (b -7 (c) 1 / 7 (d) If the line segment joining the points A(3,4) and B(4,-3) meets the x-axis at P, then the ratio in which P divides

3 the segment AB is (a) 4 : 3 (b) 3 : 4 (c) 2 : 3 (d) 4 : 1 39.If (1,2), (4,6), (x,6), and (3,2) are the vertices of a parallelogram taken in order, then the value of x is (a) 6 (b) 2 (c) 1 (d) The area of the quadrilateral formed by the points (1,1), (0,1) (0,0) and (1,0) is (a) 3 sq.units (b) 2 sq.units (c) 4 sq.units (d) 1 sq.units 41. The angle of inclination of a straight line parallel to x-axis is equal to (a) 0 (b) 60 (c) 45 (d) Slope of the line joining the points (3,-2) and (-1, a) is, then the value of a is equal to (a) 1 (b) 2 (c) 3 (d) Slope of the straight line which is perpendicular to the straight line joining the points (-2, 6) and (4, 8) is equal to (a) (b) 3 (c) -3 (d) 44. The point of intersection of the straight lines 9x-y-2=0 and 2x+y-9=0 is (a) (-1,7) (b) (7,1) (c) (1,7) (d) (-1,-7) 45. The slope of the straight line 7y - 2x = 11 (a) -7/2 (b) 7/2 (c) 2/7 (d) -2/7 46. The equation of the straight line passing through the point (2,-7) and parallel to x-axis is (a) x = 2 (b) x = -7 (c) y = -7 (d) y = The equation of the straight line passing through the origin and perpendicular to the straight line 2x+3y-7 = 0 is (a) 2x+3y = 0 (b) 3x-2y = 0 (c) y+5=0 (d) y-5 = If a straight line y = 2x+k passes through the point (1,2) then the value of k is equal to (a) 0 (b) 4 (c) 5 (d) The equation of a straight line having slope 3 and y- intercept -4 is (a) 3x-y-4=0 (b) 3x+y-4=0 (c) 3x-y+4=0 (d) 3x+y+4 = The value of k if the straight lines 3x+6y+7 = 0 and 2x+ky = 5 are perpendicular is (a) 1 (b) -1 (c) 2 (d) 1 /

4 56. The p ABC is a right angled triangle where B = 90 and BD AC. If BD = 8 cm, AD = 4 cm, then CD is (a) 24 cm (b) 16 cm (c) 32 cm (d) 8 cm 60. The area of two similar triangles are 16cm 2 and 36cm 2 respectively. If the altitude of the first triangle is 3 cm, then the corresponding altitude of the other triangle is (a) 6.5 cm (b ) 6 cm (c) 4 cm (d) 4.5 cm 61. The perimeter of two similar triangles ΔABC and ΔDEF are 36cm and 24cm respectively. If DE=10cm, then AB is (a) 12cm (b) 20cm (c) 15 cm (d) 18cm 62. A point P is 26 cm away from the centre O of a circle and PT is the tangent drawn from P to the circle is 10 cm, then OT is equal to (a) 36 cm (b) 20 cm (c) 18 cm (d) 24 cm 63. (1 + tan 2 ) sin 2 = (a) sin 2 (b) cos 2 (c) tan 2 (d) cot Sin (90 - ) cos + cos (90 - ) sin = (a) 1 (b) 0 (c) 2 (d) = (a) cos (b) tan (c) cot (d) cosec 66. cos 4 x sin 4 x = (a) 2sin 2 x 1 (b) 2cos 2 x 1 (c) 1+2sin 2 x (d) 1-2cos 2 x 67. = (a) cot (b) tan (c) sin (d) cot 68. A man is 28 m away from a tower. His eye level above the ground is 1.5 m. The angle of elevation of the tower from his Eyes is 45. Then the height of the tower is (a) 30 m (b) 27.5 m (c) 28.5 m (d) 27 m tan 2 )(1-sin ) (1 + sin ) = (a) tan 2 - sec 2 (b) sin 2 - cos 2 (c) sin 2 + cos 2 (d) (1 + cot 2 ) ( 1- cos ) ( 1+ cos ) = (a) tan 2 - sec 2 (b) sin 2 - cos 2 (c) sec 2 - tan 2 (d) cos 2 sin 2

5 71. (cos 2 (cot = (a) 1 (b) -1 (c) 2 (d) 0 (a) cos 2 (b) tan 2 (c) sin 2 (d) cot Sin 2 + (a) cosec 2 + cot 2 (b) cosec 2 - cot 2 (c) cot 2 2 (d) sin 2 - cos tan 2 θ - 9 sec 2 θ = (a) 1 (b) 0 (c) 9 (d) If tan then the value of = (a) cos (b) sin (c) cosec (d) sec 76. Radius and height of a right circular cylinder cone and that of a right circular cylinder are respectively, equal. If the volume of the cylinder is 120 then the volume of the cone is equal to (A) 1200 (B) 360 (C) 40 (D) Base area of right circular cylinder is 80. If its height is 5 cm, then the volume is equal to (A) 400 (B) 16 (C) 200 (D) 78. If the volume & the base area of a right circular cone are 48 & 12 respectively then the height of the cone is equal to (A) 6 cm (B) 8 cm (C) 10 cm (D) 12 cm 79. The ratios of the respective heights & respective radii of two cylinders are 1:2 & 2:1 respectively Then their respective volumes are in the ratio (A) 4:1 (B) 1:4 (C) 2:1 (D) 1:2 80. If the volume of a sphere is cu.cm, then its radius is (A) cm (B) cm (C) cm (D) cm 81. The surface areas of 2 spheres are in the ratio of 9:25. Then the volumes are in the ratio (A) 81:625 (B) 729:15625 (C) 27:75 (D) 27: If the surface area of a sphere is 36, then the volume of sphere is equal to (A) 12 (B) 36 (C) 72 (D) Curved surface area of solid sphere is 24.If the sphere is divided into two hemispheres, then the total surface area of one of the hemisphere is (A) 12 (B) 8 (C) 16 (D) Two right circular cones have equal radii. If their slant heights are in the ratio 4:3, then their respective curved surface areas are in the ratio (A) 16:9 (B) 2:3 (C) 4:3 (D) 3:4 85. The range of the first 10 prime numbers 2,3,5,7,11,13,17,19,23,29 is (A) 28 (B) 26 (C) 29 (D) The greatest value of collection of data is 72 & least value is 28. Then the coefficient of range is (A) 44 (B) 0.72 (C) 0.44 (D) 0.28

6 87. For a collection of 11 items,, then the arithmetic mean is (A) 11 (B) 12 (C) 14 (D) For any collection of n items, = (A) (B) (C) n (D) If the variance of the data is 12.25, then the S.D is (A) 3.5 (B) 3 (C) 2.5 (D) Given = 48, = 20 and n=12.the coefficient of variation is (A) 25 (B) 20 (C) 30 (D) Mean and standard deviation of a data are 28 and 12 respectively. The coefficient of variation of (A) 42 (B) 25 (C) 28 (D) For any collection of n items, = (A) n (B) (n-2) (C) (n-1) (D) If is an impossible event, then P( ) = (A) 1 (B) (C) 0 (D) 94. The probability that a student will score centum in mathematics is 4/5.The probability that he will not score centum is (A) (B) (C) (D) 95. If A and B are two events such that P(A)=0.25, P(B)=0.05 and P(A,then P(A B)= (A) 0.61 (B) 0.16 (C) 0.14 (D) If P(A)=0.25,P(B)=0.50,P(C)=0.14 then P(neither A nor B)= (A) 0.39 (B) 0.25 (C) 0.11 (D) A fair die is thrown once. The probability of getting a prime or composite number is (A) 1 (B) 0 (C) (D) 98. Probability of sure event is (A) 1 (B) 0 (C) 100 (D) The outcome of a random experiment results in either success or failure. If the probability of success is twice the probability of failure, then probability of success is (A) (B) (C) 1 (D) There are 6 defective items in a sample of 20 items. One item is drawn at random. The probability that it is a Non-defective item is (A) (B) 0 (C) (D) PREPARED BY S.SAKTHIVEL, VIGHNESWAR VIDHYA MANDHIR MATRIC HR.SEC.SCHOOL, POLLACHI PALLADAM MAIN ROAD, NEGAMAM VIA SIRUKKALANDAI & ( P.O), KINNATHUKADAVU T.K COIMBATORE DIS CELL NO :

1. SETS AND FUNCTIONS

1. SETS AND FUNCTIONS . SETS AND FUNCTIONS. For two sets A and B, A, B A if and only if B A A B A! B A + B z. If A B, then A + B is B A\ B A B\ A. For any two sets Pand Q, P + Q is " x : x! P or x! Q, " x : x! P and x b Q,