Average speed = (Total Distance )/(Total Time Taken)

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1 Time Speed & Distance Distance = Time Speed When Distance is constant Time 1/speed When Time is constant Distance speed When speed in constant Distance Time Average speed = (Total Distance )/(Total Time Taken) When Distance is equal Average speed = 2xy/(x + y) x, y speeds Q1. A car takes half of the time taken by truck to go from Lucknow to Bombay. A truck takes 20 hours to go for the same journey. What is the speed of truck, if the speed of car be 120 km/hr?

2 Q2. Shweta when increases her speed from 24 km/hr to 30 km/hr she takes one hour less than the usual time to cover a certain distance. What is the distance usually covered by Shweta? Q3. Kriplani goes to school at 20 km/hr and reaches the school 4 minutes late. Next time, she goes at 25 km/hr and reaches the school 2 minutes earlier than the scheduled time. What is the distance of her school? Q4. Udai travels half of his journey by train at the speed of 120 km/hr

3 and rest half by car at 80 km/hr. What is the average speed? Q5. Walking at 4/5 of his normal speed, Dewang is 15 minutes late in reaching his club. What is the usual time taken by him to cover the distance? Relative Speed a) When two bodies move in the same direction, Let speed of two bodies be S₁ & S₂. Relative speed = S₁ S₂ (b) When two bodies are moving in the opposite direction. Let the speed of two bodies be S₁ & S₂. Relative speed = S₁ + S₂. (c) When two bodies moving towards each other than time taken by them to meet. D Distance between two bodies. S₁, S₂ Speed of two bodies.

4 T, time taken to meet other = D/(S₁ + S₂ ) (d) When two bodies are moving in opposite direction, time taken to meet. D Distance between the two bodies. S₁, S₂ Speed of two bodies. T, time taken = D/(S₁ S₂ ) (e) If two persons A & B, start at the same time from P and Q towards each other and after crossing they take T₁ & T₂ hrs in reaching Q & P S₁ /S₂ = (T₁/T₂ ) Q1. The distance between 2 places R and S is 42 km. Anita starts from R with a uniform speed of 4 km/hr towards S and at the same time Romita starts from S towards R also with some uniform speed. They meet each other after 6 hours. The speed of Romita is Q2. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet? Q3. A thief Bhagu Ram is spotted by the policeman Pakad Singh from a distance of 200m. Once they see each other they start Running.

5 What is the distance Bhagu Ram, who is running at 5 km/hr would have covered before being caught by Pakad Singh running at 7 km/hr? Q4. A train starts from A to B at 9:00 am and takes 6 hours to travel to B. Another train starts from B to A at 10:00 am and takes 8 hours to travel to A. At what time both train will meet?

6 Q5. Abhinav leaves Mumbai at 6 am and reaches Bangalore at 10 am Praveen leaves Bangalore at 8 am and reaches Mumbai at 11:30 am. At what time do they cross each other?

7 Trains (a) If a train of length l meters passes a platform or bridge of length m metres, then distance travelled is Distance = l + m (b) If a train of length l meters passes a pole, man, tree etc, then Distance travelled is Distance = l meters (c) If two trains of lengths L₁ & L₂ are travelling in the same direction with speeds S₁ & S₂ then. Time taken by faster train to cross slower train is given by T=(L₁+L₂)/(S₁-S₂)

8 (d) If two trains of length L₁ & L₂ are travelling is opposite direction with speeds S₁ & S₂, then time taken by trains to cross each other is T=(L₁+L₂)/(S₁-S₂) (e) Two trains of length L₁ & L₂ run on parallel tracks. When running is same direction, the faster train passes slower train in T₁ secs, but when they are running in opposite direction with same speeds, they passes each other in T₂ sec. Then, Q1. Two trains of length 200 m and 175 m run or parallel tracks. When running is the same direction the faster train crosses the slower train in 37½ sec. While running is opposite directions they passes each other is 7½ s. Find the speed of each train.

9 Q2. A train crosses a man coming from the opposite direction in 7.5 seconds. If the speed of man be 10 m/s and speed of train is 20 m/s, find the length of the train. Q3. Two trains coming from the opposite sides crosses each other in 10 seconds if the lengths of first train and second train be 125 m and 175 m respectively, also the speed of first train be 36 km/hr, find the speed of second train. Q4. A train overtakes two girls who are walking in the opposite direction in which the train is going at the rate of 3 km/hr and 6 km/hr and passes them completely in 36 seconds and 30 seconds respectively. The length of the train (in metres) is:

10 Boat & Stream (a) Downstream When boat & stream moves in the same direction. Downstream Speed = u + v u speed of boat v speed of stream (b) Upstream When boat & stream moves in the opposite direction. Upstream speed = u v u speed of boat v speed of stream (c) If D is downstream speed, U is upstream speed.then, Speed of boat = (D + U)/2 Speed of stream = (D - U)/2 (d) When the distance traveled by boat is downstream is same as the distance covered by boat is upstream, then,

11 Q1. A man can row 9 km/hr in still water. If takes him twice as long as to row up as to row down. Find the rate of stream of river. Q2. The speed of a boat downstream is 15 km/hr and the speed of current is 3 km/hr. Find the total time taken by the boat to cover 15 km upstream and 15 km downstream. Q3. A man rows 12 km in 5 hours against the stream and the speed of current being 4 kmph. What time will be taken by him to row 15 km with the stream?

12 Circle / व त त

13 Q1.Find the area of a segment of a circle with a central angle of 120 degrees and a radius of 8 cm. 120 ड ग र क क न द र य क ण और 8 स म त र ज य व ल एक व त त क व त तख क क ष फल ज ञ त क ज य Q2.Find the area of a sector with an arc length of 30 cm and a radius of 10 cm. 30 स म ल ब ई व ल च प और 10 स म त र ज य व ल एक त र ज यख क क ष फल ज ञ त क ज य

14 Q3.In a circle of radius 21 cm and arc subtends an angle of 72 at centre. The length of arc is? 21 स म त र ज य व ल एक व त त म च प क र पर 72 ड ग र क क ण बन त ह उस च प क ल ब ई ह - Important Properties Of Circle /व त त क महत वप णण ववश षत ए : - Perpendicular from the centre of a circle to a chord bisects the chord.(एक व त त क क र स व पर ल गय ल ब इस द ववभ ज त करत ह ) AM = MB Q1. AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the center of the circle. The distance between them is 1 cm. Find the length of the radius? AB = 8 स म और CD = 6 स म व त त क क र क सम न ओर द सम न तर व य ह उनक ब च क द र 1 स म ह, त र ज य क ल ब ई ज ञ त क ज य

15 Chords corresponding to equal arcs are equal.(बर बर च प क स गत व य बर बर ह त ह ) Equal Chords of Circle Subtends equal angles at the centre.( व त त क बर बर व य क र पर बर बर क ण बन त ह ) Equal chords of a circle are equidistance from the centre.( एक व त त क बर बर व य क र स बर बर द र पर ह त ह )

16 The angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.( एक व त त क च प द व र क र पर बन य गय क ण, इसक द व र व त त क श ष भ ग म ककस भ त रब द पर बन य गए क ण क द ग न ह त ह ) Q1. The length of chord of a circle is equal to the radius of the circle.the angle which this chord subtends in the major segment of the circle is equal to? एक व त त क व क ल ब ई, व त त क त र ज य क बर बर ह यह व व त त क द र ण व त तख पर ककतन ड ग र क क ण बन त ह?

17 Angle in same segment of a circle are equal.( एक व त त क सम न व त तख म बन क ण बर बर ह त ह ) Angle in a semicircle is always a right angle.(अर णव त त म बन क ण हम श समक ण ह त ह ) Q1.AC is the diameter of a circumcircle of triangle ABC. Chord ED is parallel to the diameter AC. If Angle CBE = 50, then the measure of angle DEC is? AC, त र भ ABC क पररव त त क व य स ह व ED, व य स AC क सम तर ह यदद क ण CBE = 50 ह, त क ण DEC क म प ककतन ह? If, ABCD is a cyclic quadrilateral (यदद ABCD एक चक र य चत भ ण ह )

18 ABCD is a cyclic quadrilateral.(abcd एक चक र य चत भ ण ह ) A tangent at any point of circle is Perpendicular to the radius through the point of contact.( व त त क ककस भ त रब द पर एक स पशणर ख, स पशणत रब द स ह कर ग रन व ल त र ज य क ल बवत ह त ह )

19 Q1. Chords AB and CD of a circle intersects externally at P. If AB = 6 cm, CD = 3 cm and PD = 5 cm, then the length of PB is? एक व त त क व य AB और CD ब ह यत P पर एक-द सर क प रततच छ द करत ह यदद AB = 6 स म, CD = 3 स म और PD = 5 स म ह, त PB क ल ब ई ककतन ह?

20 AB = CD = Direct Common tangent(उभयतनष ठ अन स पशणर ख ) AB = CD Transverse Common Tangents(ततयणक उभयतनष ठ स पशणर ख ) Q1. If the radii of two circles be 6 cm and 3 cm and the length of transverse common tangent be 8 cm, then the distance between the two centers is? यदद द व त त क त र ज य ए 6 स म और 3 स म ह तथ ततयणक उभयतनष ठ स पशणर ख क ल ब ई 8 स म ह, त द न क न द र क ब च क द र ह? More Questions Q1. In the given figure, O is the centre of the circle and AOB = 75, then AEB will be?

21 द गई आक तत म, O व त त क क र ह और AOB = 75 ह, त AEB ककतन ह ग? (a) (b) (c) (d) Q2. In a circle, center angle is 120. Find the ratio of a major angle and minor angle? एक व त त म क न द र य क ण 120 ह बड़ क ण और छ ट क ण क अन प त ज ञ त क ज य (a) 2:7 (b) 2:1

22 (c) 2:9 (d) 2:3 Q3. A, B & C are three points on a circle such that a tangent touches the circle at A and intersects the extended part of chord BC at D. Find the central angle made by chord BC. If CAD = 39, CDA = 41? A, B और C एक व त त पर त न त रब द ह, इस प रक र एक स पशणर ख व त त क A पर स पशण करत ह और व BC क बढ़ ए गए भ ग क D पर प रततच छ द करत ह व BC द व र बन य गय क न द र य क ण ज ञ त क ज य, यदद CAD = 39, CDA = 41? (a) 122 (b) 123 (c) 132 (d) 142

23 Q4. Find the length of the common tangent of two externally touch circle with radius 16 cm and & 9 cm respectively? ब ह यत एक द सर क स पशण करन व ल व त त क उभयतनष ठ स पशणर ख क ल ब ई ज ञ त क ज य, ज न व त त क त र ज य क रमश 16 स म और 9 स म ह (a) 12 cm (b) 24 cm (c) 13cm (d) 28 cm

24 Q5. ABC is an isosceles triangle a circle is such that it passes through vertex C and AB acts as a tangent at D for the same circle. AC and BC intersects the circle at E and F respectively AC = BC = 4 cm and AB = 6 cm. Also, D is the mid-point of AB. What is the ratio of EC : (AE + AD)? ABC एक समब ह त र भ ह, एक व त त इस प रक र स बन ह कक यह शशर त रब द C स ह कर ग रत ह और सम न व त त क शलए AB, D पर एक स पशणर ख क र प म क यण करत ह AC और BC व त त क क रमश E और F पर प रततच छ द करत ह, AC = BC = 4 स म एव AB = 6 स म तथ D, AB क मध यत रब द ह EC : (AE + AD) क अन प त ककतन ह? (a) 9:7 (b) 3:4 (c) 4:3 (d) 1:3 Q6. The radius of two concentric circles are 17 cm and 10 cm. A straight line ABCD intersects the larger circle at the point A and D and intersects the smaller circle at the points B and C. If BC = 12 cm, then the length of AD (in cm) is?

25 द स क र दरक व त त क त र ज य 17 स म और 10 स म ह एक सरल र ख ABCD, बड़ व त त क त रब द A और D पर एव छ ट व त त क त रब द B और C पर प रततच छ द करत ह यदद BC = 12 स म ह, त AD क ल ब ई (स म म ) ककतन ह? (a) 20 (b) 24 (c) 30 (d) 34 Q7. In the given diagram O is the centre of the circle and CD is a tangent. CAB and ACD are supplementary to each other OAC = 30. Find the value of OCB? ददए गए आर ख म, O व त त क क र ह और CD एक स पशणर ख ह CAB और ACD एक-द सर क स प रक ह, OAC = 30 ह, त OCB क म न ज ञ त क ज य

26 (a) 30 (b) 20 (c) 60 (d) None of the above Q8. Two circle of equal radius of r passes through centre of each other. Find the length of common tangent. बर बर त र ज य r व ल द व त त एक-द सर क क र स ह कर ग रत ह उभयतनष ठ स पशणर ख क ल ब ई ज ञ त क ज य (a) 3r (b) (5 )r (c) (3 )r (d) 2r

27 Q9. Two circle of radius 9 cm and 4 cm and distance between their centre is 13 cm. Find the length of direct common tangent of the circles. 9 स म और 4 स म त र ज य व ल द व त त क क र क ब च क द र 13 स म ह व त त क उभयतनष ठ अन स पशण र ख क ल ब ई ज ञ त क ज य (a) 11 cm (b) 12 cm (c) 10 cm (d) 8 cm Q10. PT is a tangent of circle. AB is a chord of circle if AB = 18 cm and PT = 2 AP. Find length of PT. PT व त त क एक स पशणर ख ह AB, व त त क व ह यदद AB = 18 स म और PT = 2 AP, त PT क ल ब ई ज ञ त क ज य (a) 6 cm (b) 9 cm (c) 8 cm (d) 12 cm

28 1. Cuboid(र न भ) Volume of the cuboid (घन भ क आयतन) = l b h Lateral surface Area(प र श व पठ क क त रफल ) ) = Perimeter of Base Height Base = 2(l + b) h Total surface area (क पठ क क त रफल ) )= Lateral surface Area + 2 Area of base = 2 (lh + bh + lb) Diagonal (व कर व)= (l²+b²+h² ) V = (A1 A2 A3)

29 A1 Area of base or top (आध र य श र व क त रफल ) )= lb A2 Area of one side face (एक ककन रत र कत र पठ क क त रफल ) ) = bh A3 Area of another side face (द सरत र ककन रत र कत र पठ क क त रफल ) )= hl To find the total surface area of a cuboid if the sum of all three sides and diagonals are given.( ककस घन भ कत र क पठ क क त रफल ) ज ञ त करन यदद सभ त न भ ज ओ कत र य ग और व कर व ददए गए ह ) Total surface area(क पठ क क त रफल ) )= (sum of all three side)² (Diagonal)² For painting the surface area of a box or to know how much tin sheet is required, we will use, Total surface area.( ककस बक सत र कत र पठ क कत र त रफल क र गनत र कत र ल ए य यह ज ञ त करनत र कत र ल ए कक द न कत र श क ककतन आ र शयकत ह ग, हम क पठ क कत र त रफल ) क उपय ग कर गत र ) To find the length of the longest pole to be placed is a room, we will calculate diagonal(ककस कमरत र म रखत र ज सकनत र त र सबसत र म बत र खम भत र क म ब ई ज ञ त करनत र कत र ल ए, हम व कर व क गर न करतत र ह ) i.e. (l²+b²+h² ) Q1. If the sum of three dimensions and the total surface area of the rectangular box are 12 cm and 94 cm² respectively, then the maximum length of the stick that can be placed in the box is? यदद एक आयत क र बक स क त न ववम ओ क य ग एव क ल प ष ठ क क ष फल क रमश 12 स म और 94 वगणस म ह, त उस छड़ क लम ब ई ज स बक स म रख सकत ह, वह ह? (a) 5 2 cm (b) 5 cm (c) 6 cm (d) 2 5 cm S1. Ans.(a) Sol. Maximum length of the stick that can be placed inside box=diagonal of box Total surface area = (sum of L + b + h)² (Diagonal)²

30 94 = (12)² (diagonal)² (Diagonal)² = = 50 Q2. In a swimming pool measuring 90m by 40m, if the displacement of water by one man is 800 cm³, what will be the rise in water level if 150 men entered the swimming pool? एक स व शम ग प ल म ज सक म प 90 म 40 म ह, एक व यजक त द व र ववस थ वपत ल 800 र न स म ह त ल स तर म ककतन म टर क व द धर ह ग यदद 150 व यजक त इसम प रव श करत ह? (a) 0.66 m (b) 0.44 m (c) 0.33 m (d) 0.25 m S2. Ans.(c) Sol. Volume of water displaced by 150 men = Volume of water came out Let height raised in water = h cm 800cm³ 150 = 9000 cm 4000 cm h 120 = h h=12/(9 400) cm h=1/300 cm h=1/3 m=0.33m 2. Cube(र न) Volume(आयतन) = (side)³ = a³

31 Lateral surface area(प र श व पठ क क त रफल ) ) = 4a² Total surface area(क पठ क क त रफल ) ) = 6a² Diagonal of the cube(घन क व कर व)= 3a Face diagonal of the cube(एक घन कत र पठ क क व कर व) = 2 a Volume of the cube (घन क आयतन)= ( (total surface area)/6)³ In Radius of cube(घन क अन त त रफल ज य )= a/2 Circumradius of cube(घन क पररत रफल ज य ) = 3/2 a Q1. Three cubes of volume 1 cm³, 216 cm³ and 512 cm³ are melted to form a new cube. Find the diagonal of the New cube? 1 र नस म, 216 र नस म और 512 र नस म आयतन क त न र न क वपर ल कर एक नय र न बन य त ह नए र न क ववकणण ज ञ त क ज य (a) 15.6 cm (b) 16.6 cm (c) 17.6 cm (d) 18.6 cm S1. Ans.(a) Sol. Volume of New cube = 1 cm² cm² cm³ = 729 cm³ a³ = 729 cm³ a = 9 cm Diagonal of New cube = 3a = 3 a =9 3 = cm Q2. The cost of painting the whole surface area of a cube at the rate of B paise per sq. cm is Rs Then the volume of the cube is? B प स प रतत वगणस म क दर स एक र न क क ल प ष ठ क र गन क ल गत र. ह त र न क आयतन ह :

32 (a) 9261cm³ (b) 9264cm³ (c) 10248cm³ (d) 13310cm³ S2. Ans.(a) Sol. Cost of painting the whole surface = Rs = paise Total surface area=34398/13=2646 cm² Total surface area = cube = 6a² 6a² = 2646 a² = 441, a = 21 cm Volume of cube = a³ = (21)³ = 9261 cm³ 3. Right circular cone(लम ब व त क र श क ) Slant height (ततयवक ऊ च ई), l = (r²+h² ) Volume ( क र पठ क क त रफल ) )= 1/3 area of base height = 1/3 πr² h Curved surface area(क पठ क क त रफल ) )= 1/2 (Perimeter of base) slant height = 1/2 2πr l=πrl=πr (r²+h² ) Total surface area(क पठ क क त रफल ) ) = C.S.A + Area of base = πrl+πr²=πr(l+r) If cone is formed by sector of a circle then.(यदद एक ठत त कत र त रफल ज यख ड द र एक श क बनत ह, त )(a) Slant height = radius of circle, (b) circumference of base of cone = length of arc of sector

33 Radius of maximum size sphere in a cone(एक श क कत र भ तर अधधकतम आक र कत र ग त र क त रफलज य ) = (h r)/(l + r) [ r radius of the cone, l slant height of the cone, h height of the cone)] If cone is cut parallel to its base and ratio of heights, radius or slant height of both parts is given as x y.( यदद श क क इसकत र आध र कत र स म न तर क ज त ह, और द न भ ग क ऊ च ई क अन प त, त रफल ज य य ततयवक ऊ च ई x : y कत र र प म ददय ह त ह, त उनकत र आयतन क अन प त),Then Ratio of their volume = x³ y³ Q1. 5 persons live in a tent. If each person requires 16 m² of floor area and 100 m³ space for air then the height of the cone of smallest size to accommodate these persons would be? 5 व यजक त एक तम ब म रहत ह यदद प रत य क व यजक त क फशण क क ष क 16 वगण स म और अ तररक ष क 100 र न स म क आवश यकत ह, त इन व यजक तय क स थ न द न व ल लर तम आक र क श क क ऊ च ई क य ह ग? (a) 16 m (b) m (c) m (d) 20 m S1. Ans.(b) Sol. Let the height of cone h meter Total area of ground will be required = 5 16 m²= 80 m² Total volume of air is needed = m³ = 500 m³ volume of cone = 500 m³ 1/3 area of ground = 500 1/3 πr² h = 500 =1/3 80 h = 500 height = (500 3)/80 height of cone = metres Q2. In a right circular cone, the radius of its base is 7 cm and its height 24 cm. A cross-section is made through the midpoint of the height parallel to the base. The volume of the upper portion is?

34 एक लम ब व त क र श क म, इसक आर र क त र ज य 7 स म ह और इसक ऊ च ई 24 स म ह आर र क सम न न द तर ऊ च ई क मध य त रब द स इस क ट त ह इसक ऊपर भ ग क आयतन ककतन ह? (a) 169 cm³ (b) 154 cm³ (c) 1078 cm³ (d) 800 cm³ More Questions Q1. The lateral surface area of frustum of a right circular cone, if the area of its base is 16π cm² and the diameter of circular upper surface is 4 cm and slant height 6 cm, will be? एक लम ब व त क र श क क प श वण प ष ठ क क ष फल ककतन ह, यदद इसक आर र क क ष फल 16π वगण स म ह और ऊपर व त क र सतह क व य स 4 स म ह और ततयणक ऊ च ई 6 स म ह? (a) 30π cm² (b) 48π cm² (c) 36π cm²

35 (d) 60π cm² Q2. An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm. When a few solid spherical metallic balls each of radius 1/2 cm are dropped in the vessel, 25% water is overflowed. The number of balls is: एक उल ट श क व क र प ल स लब लब भर ह आ ह प क ऊ च ई 8 स म ह और ख ल भ ग क त र ज य 5 स म ह ब 1/2 त र ज य क क छ ठ स ग ल क र र त क ग द क प म ल त ह, त 25% ल ब हर तनकल त ह ग द क स ख य ह : (a) 100 (b) 400 (c) 200 (d) 150

36 Q3. If the height and the radius of the base of a cone are each increased by 100%, then the volume of the cone becomes यदद एक श क क ऊ च ई और आर र क त र ज य क 100% बढ़ य त ह, त श क क आयतन ह ग (a) double that of the original (b) three times that of the original (c) six times that of the original (d) eight times that of the original Q4. A plane divides a right circular cone into two parts of equal volume. If the plane is parallel to the base, then the ratio, in which the height of the cone is divided, is? एक सतह एक लम ब व त क र श क क सम न आयतन क द भ ग म ब ट त ह यदद सतह आर र क स म न तर ह, त वह अन प त, ज सम श क क ऊ च ई क क ट त ह, वह ह : (a) 1 : 2 (b) 1 : 2 (c) 1 : 2-1 (d) 1 : 2+1

37 Q5. A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of the sphere. What is the ratio of the height and radius of the cone so formed? एक ठ स ग ल क वपर ल कर एक लम ब व त क र श क क र प म ढ ल त ह ज सक आर र क त र ज य ग ल क त र ज य क सम न ह इस प रक र बन श क क ऊ च ई और त र ज य क अन प त क य ह? (a) 4 : 3 (b) 2 : 3 (c) 3 : 4 (d) 4 : 1

38 Notes On Indian Polity: Fundamental rights Originally, the Constitution provided for seven Fundamental Rights / म त, स व ध न म स त म ल क अधधक र कत र ल ए प रद न ककय :- 1. Right to equality (Articles 14 18) / सम नत क अधर क र (अन च छ द 14 18) 2. Right to freedom (Articles 19 22) / स वत त क अधर क र (अन च छ द 19 22) 3. Right against exploitation (Articles 23 24) / श षण क ववर द र अधर क र (अन च छ द 23 24) 4. Right to freedom of religion (Articles 25 28) / र मण क स वत त क अधर क र (अन च छ द 25 28) 5. Cultural and educational rights (Articles 29 30) / स स क ततक और श क षक षक अधर क र (अन च छ द 29 30) 6. Right to property (Article 31) / स पवत त क अधर क र (अन च छ द 31) 7. Right to constitutional remedies (Article 32) / स व र तनक उपच र क अधर क र (अन च छ द 32) The right to property was deleted from the Fundamental Rights by the 44th Amendment Act, It is made a legal right under Article 300-A of the Constitution. So, at present, there are only six Fundamental Rights. / स पवत त कत र अधधक र क 44 स श धन क न न, 1978 द र म ल क अधधक र सत र ह ददय गय थ. इसत र स व ध न कत र अन च छत रद 300-A कत र तहत एक क न न अधधक र बन य गय ह. इसल ए तवम न म, कत र छह म ल क अधधक र ह. 1. Right to equality (Articles 14 18)/ सम नत क अधर क र (अन च छ द 14 18)

39 (a) Equality before law and equal protection of laws (Article 14)./ क न न सत र पह त र सम नत और क न न क सम न स र (अन च छत रद 14) (b) Prohibition of discrimination on grounds of religion,race, caste, sex or place of birth (Article 15)./ धमव, श, ज तत, ल ग य जन म स थ न कत र आध र पर भत रदभ क तनर त रध(अन च छत रद 15) (c) Equality of opportunity in matters of public employment (Article 16)./ स वजतनक र जग र कत र म म म अ सर क सम नत (अन च छत रद 16) (d) Abolition of untouchability and prohibition of its practice (Article 17)./ अस पठर शयत क उन म न और इस प रथ क प रततब ध (अन च छत रद 17) (e) Abolition of titles except military and academic (Article 18)./ स न य और श क ष क क छ ड कर उप धध क उन म न (अन च छत रद 18) 2. Right to freedom (Articles 19 22)/ स वत त क अधर क र(अन च छ द 19-22) (a) Protection of six rights regarding freedom of/: स त फलत कत र स ब ध म छह अधधक र क स र र (i)speech and expression/ भ र र और अलभव यक क त, (ii) assembly/ सभ, (iii) association/ स स थ, (iv) movement/ आ द न, (v) residence, and / तन स, और (vi) profession (Article 19)./ व य स य (अन च छत रद 19) (b) Protection in respect of conviction for offenses (Article 20)./ अपर ध कत र ल ए सज कत र स ब ध म स र र (अन च छत रद 20) (c) Protection of life and personal liberty (Article 21)./ ज न और व यक क तगत स त फलत क स र र (अन च छत रद 21) (d) Right to elementary education (Article 21A)./ प र थलमक लश क अधधक र (अन च छत रद 21A)

40 (e) Protection against arrest and detention in certain cases(article 22)./ क छ म म म धगरफ त र और तनर ध कत र खख ) स र र (अन च छत रद 22) 3. Right against exploitation (Articles23 24)/ श षण क ववर द र अधर क र (अन च छ द 23-24) (a) Prohibition of traffic in human beings and forced labor.(article 23)./ मन य और मजद र म य त य त क तनर त रध (अन च छत रद 23) (b) Prohibition of employment of children in factories, etc. (Article 24)./ क रख न, आदद म बच च कत र र जग र क तनर त रध (अन च छत रद 24) 4. Right to freedom of religion (Article 25 28)/ र मण क स वत त क अधर क र (अन च छ द 25-28) (a) Freedom of conscience and free profession, practice and propagation of religion (Article 25)./ व त रक और स त फल पत रशत र क स त फल त, धमव क प रच र (अन च छत रद 25) (b) Freedom to manage religious affairs (Article 26)./ ध लमवक म म क प रब धन करनत र क स त फल त (अन च छत रद 26) (c) Freedom from payment of taxes for promotion of any religion (Article 27)./ ककस भ धमव क बढ दत रनत र कत र ल ए कर कत र भ गत न सत र स त फल त (अन च छत रद 27) (d) Freedom from attending religious instruction or worship in certain educational institutions (Article 28)./ क छ लश र स स थ न म ध लमवक अन दत रश य प ज म श लम ह नत र क स त फल त (अन च छत रद 28) 5. Cultural and educational rights (Articles 29 30)/ स स क ततक और श क षक षक अधर क र (अन च छ द 29-30) (a) Protection of language, script and culture of minorities (Article 29)./ अल पस ख यक क भ र, ल वप और स स कठ तत क स र र (अन च छत रद 29)

41 (b) Right of minorities to establish and administer educational institutions (Article 30)./ श क ष क स स थ न क स थ पन और प रश सन कत र ल ए अल पस ख यक क अधधक र (अन च छत रद 30) 6. Right to constitutional remedies(article 32)/ स व र तनक उपच र क अधर क र (अन च छ द 32) Supreme court can issue an order or following writs for the enforcement of the fundamental rights /स प र म क व म ल क अधधक र क ग करनत र कत र ल ए तनम नल खखत आदत रश य प र दत रश ज र कर सकत ह :- (i) Habeas Corpus,/ बन द प रत य करर (ii) Mandamus, / परम दत रश (iii) Prohibition, / तनर त रध (iv) Certiorari, and / प रम खर कत, और (v) Quo warrento (Article 32)./ क य ओ र-र (अन च छत रद 32)

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