If ABC is an isosceles triangle, right angle at C then prove that
P. If ABC is an isosceles triangle, right angle at C then prove that
(AP 2019, 2022 Public Exam Question)
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10th Class, 10th - CBSE Questions, 10th Previous Years Questions, 10th - Applications of Trigonometry, 10th - Statistics, 10th - Probability, 10th - Mensuration, 10th - Quadratic Equations, 10th - Pair of Linear Equations in 2 Variables, 10th - Similar Triangles, 10th - Polynomials, 10th - Progressions, 10th - Sets, 10th - Real Numbers, 10th - Trigonometry, 10th Coordinate Geometry. 10th - Tangents and Secants to a Circle, IIT Foundation, JEE MAIN playlists in the YouTube.)
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10th CBSE Questions
1. A student was asked to make a model shaped like a cylinder
2. Two numbers are in the ratio 2:3 & their LCM is 180
3. Khushi wants to organize her birthday party. Being health
4. Which term of AP 65,61,57,53,... is the first negative
5. D is a point on the side BC of a triangle ABC such that
6. From the top of a 7m high building, the angle of elevation
7. The ratio of HCF to LCM of the least composite number and
8. If AD and PM are medians of triangles ABC and PQR
9. Two concentric circles are of radii 5cm and 3cm
10. The Pair of Linear Equations 2x=5y+6 &15y=6x-18
11. In the given figure O is the Centre of the circle and PQ is the chord
1. A chord of a circle of radius 14cm subtends 120° ...
2. If the sum of first 15 terms of AP is 675
3. Rohan's mother is 26 years older than him. The product of their ages after 3
4. 10th Class|Maths|AP|2019|Public Exam|Question|Paper|Bits
5. Find the zeros of the quadratic polynomial x^2-x-30
6. In the figure angle BDE is equals to
7. 10th|Class|Maths|AP|May|2022|Public Exam|question paper|Bits|Part3
8. 10th Class|Maths|AP|May|2022|Public Exam|question|paper|Bits - Part2
9. 10th Class|Maths|AP|May 2022|Public|Exam|question|paper Bits Part1
10. Write Less than cumulative frequency and Greater
11. If the sum of first 7 terms and 15 terms of an A.P.
12. If ABC is an isosceles triangle, right angle at C then prove that
13. The perimeter of a rectangular plot is 32m. If the length is increased by 2m. and the
14. How many spherical balls can be made out of a ....
15. Median of observations x/5,x,x/4,x/2
16. If tanA=5/12, then find secA and cosecA
17. Prove that 2+5root3 is irrational
18. If one card is drawn from a well shuffled deck of 52|NOTE: SECOND ANSWER : 3/13
19. Mode of 3,4,5 and x is 5, then find x
20. Find the value of k for which the pair of equations
21. Find the median of the following data. 11-15,16-20
22. How many 3 digit numbers are divisible by 3
23. ABC is a right angle triangle, right angled at C
24. construct a triangle PQR where QR=5.5cm, PQ= 6cm
25. In triangle ABC LM||BC AL/LB=2/3, AM=5. Find AC
26. Draw a pair of tangents to a Circle of radius 4cm
27. ∆ABC~∆DEF, their areas are 64sq.cm,121sq.cm res...
28. Consider the following distribution of daily wages of 50 workers of a
29. which of the following vessels can be filled with
30. Show that cube of any positive integer is of the form 9m, 9m+1 or 9m+8
31. If A and B are (-2,-2)&(2,-4) respectively. Find the coordinates of P
32. In what ratio does the point (-4,6) divide the line segment joining
33. Find the area of the triangle formed by joining the
34. Show that (cosecA-cotA)^2=(1-cosA)/(1+cosA)|(sinA+cosecA)^2+(cosA+secA
35. If cosecA+ cotA=k then prove that cosA=(k^2-1)/(k^2+1)
36. Prove that (1+tan^2 A)+(1+1/tan^2 A) = 1/(sin^2 A-sin^4A)
37. Prove that (sinA-cosecA)^2+(cosA-secA)^2=(cot^2)A+(tan^2)A-1
38. Prove that √3 is irrational | Is log5 base 10 rational number
39. Let A={x/x is an even number} B= {x/x is an odd number}
40. If (1,2), (4,y), (x,6) and (3,5) are the vertices of a parallelogram
41. Find the value of 'K' for which the points are collinear
42. Find the area of triangle formed by points (2,3), (-1,3) (2,-1) using Heron's formula
43. Check whether the points (3,0), (6,4), (-1,3) are vertices of
44. If the points A(6,1), B(8,2), C(9,4),D(p, 3) are vertices of a
45. Find the co-ordinates of the points of trisection of the line
46. Prove that the sum of the squares of the sides of a rhombus
47. A bag contains 20 discs which are numbered from 1 to 20
48. A manufacturer of TV sets produced 600 sets in the third
49. A cylindrical container is filled with ice cream whose
50. A medicine capsule is in the shape of a cylinder with
51. Two concentric circles are of radii 5cm and 3cm
52. Prove that the parallelogram circumscribing a circle
53. A tree breaks due to storm and the broken part bends
54. A motor boat whose speed is 18km/h in still water. It
55. The sum of the reciprocals of Rehman's ages,(in years)
56. Solve the following pair of equations by reducing them
57. if 2^(x+1)=3^(1-x), find the value of x | Using the Euclid's division lemma
58. Two poles of equal heights are standing opposite to each other on either
59. 'O' is any point inside a rectangle ABCD. Prove that
60. Draw a Circle of radius 6 cm. From a point 10cm away from
61. A chord of circle of radius 10cm subtends a right angle
62. Find the point on the X-axis which is equidistant from
63. A fraction becomes equal to 4/5 if 1 is added to both
64. Verify that 1,-1 and -3 are the zeroes of the cubic polynomial
65. Find the quadratic polynomial, for the zeroes alpha, beta given in each
66. Find the zeroes of quadratic polynomial x^2-2x-8 Verify
67. The angle of elevation of a jet plane from a point A on the ground
68. Two boys on either side of a temple of 60m height
69. The angle of elevation of the top of a building from the foot of the tower is 30°
70. Show that the points (-4,-7), (-1,2), (8,5) and (5,-4) taken
71. Find the area of the quadrilateral whose vertices taken in
72. Verify that 1,-1 and -3 are the zeroes of the
73. Find x so that x, x+2, x+6 are consecutive terms of a geometric progression
74. 10th Class|Maths| AP|public exam| Previous years|question paper|Bits - 2
75. 10th Class|Maths|AP Public exam|Previous years question paper Bits -1
76. Solve the quadratic polynomial x^2-3x-4 by graphical method
77. 6 pencils and 4 notebooks together cost Rs.90 whereas
78. Solve each of the following pair of equations by
79. Find the two consecutive odd positive integers, sum of
80. Is it possible to design a rectangle mango grove
81. Solve the quadratic equation 9x^2-9x+2=0 by the method
82. If the sum of first 7 terms of an AP is 49 and that
83. A sum of Rs.1000 is invested at 8% simple interest
84. An A.P. has 21 terms. The sum of 10th,11th,12th terms
85. An sum of Rs. 1000 is invested at 8% simple interest per year. calculate
86. Find the two consecutive odd positive integers, sum of whose square is 290
87. what value(s) of x will make DE||AB in the fig
88. Find the length of the tangent from a point 13cm
89. AB,CD,PQ are perpendicular to BD. AB=x,CD=y &PQ=z, then prove that 1/x+1/y=1/z
90. A well of diameter 14m is dug 15m deep. The earth
91. Spherical marbles of diameter 1.4cm, are dropped
92. Two cubes each of volume 125cm^3 are joined end to
93. If half of the vertical angle of a cone of height 3cm
94. The radius of a conical tent is 5m and its height is
95. A hemisphere is cut out from one face of a cubical
96. If tanA=3/4 then find the other trigonometric ratios of angle A
97. If tanA=1/√3 and tanB=√3 then find sinA.cosB+cosA.sinB
98. If secθ+tanθ=p then prove that sinθ=(p^2-1)/(p^2+
99. Suppose you are shooting an arrow from the top of a
100. A wire of length 18m had been tied with an electric
101. Find the coordinates of a point A where AB is
102. Prove that opposite sides of a quadrilateral circumscribing
103. Prove that opposite sides of a quadrilateral circumscribing
104. Find the length of the tangent from a point 13cm away from
105. A cylinder and cone have bases of equal radii and
106. An oil drum is in the shape of cylinder, whose
107. Check whether -321 is a term of the A.P. 22, 15,8,1,...
108. The larger of two supplementary angles exceeds the smaller
109. Show that the following sets are equal
110. Evaluate sin15.sec75|Evaluate log(1+tan45) base 2
111. If cosA=7/25, find sinA and cosecA. What do you observe
112. The length of shadow of a pole is equal to the length of the pole
113. The probability that the sum of two numbers appearing
114. Write the mid values of the following frequency distribution
115. Length of rectangle is 2 units greater than its breadth
116. If the total surface area of a cube is 96
117. The next term in A.P. √3, √12, √27 is
118. Prove that tan^2 theta-sin^2 theta=tan^2 theta.sin^2 theta
119. Hari went to a bank to withdraw ₹2000
120. Prove that (sin theta+cosec theta)^2+(cos theta+sec theta)^2
121. Prove that (1+tan^2 theta)+(1+1/tan^2 theta)=1/
122. statement 1: The lengths 3cm, 4cm, 5 cm form a right angled triangle
10th - Applications of Trigonometry
1. An iron spherical ball of volume 232848cm^3 has been melted
2. Inner part of a cupboard is in the cuboidical shape with its length
3. The angle of elevation of a jet plane from a point A on the ground
4. Two boys on either side of a temple of 60m height
5. The angle of elevation of the top of a building from the foot of the tower is 30°
6. A 1.2m girl spots a balloon moving with the wind in a horizontal line
7. Two angles are complementary and one angle is 18°
8. If ABC is an isosceles triangle, right angle at C then prove that
9. A tree breaks due to storm and the broken part bends
10. The angles of elevation of the top of a tower from two points at
1. Prove that 2+5root3 is irrational
2. Median of observations x/5,x,x/4,x/2
3. Mode of 3,4,5 and x is 5, then find x
4. Find the value of k for which the pair of equations
5. Find the median of the following data. 11-15,16-20
6. Consider the following distribution of daily wages of 50 workers of a
1. A bag contains 20 discs which are numbered from 1 to 20
2. If one card is drawn from a well shuffled deck of 52|NOTE: SECOND ANSWER : 3/13
1. A medicine capsule is in the shape of a cylinder with
1. A motor boat whose speed is 18km/h in still water. It
2. The sum of the reciprocals of Rehman's ages,(in years)
3. Rohan's mother is 26 years older than him. The product of their ages after 3
10th - Pair of Linear Equations in 2 Variables
1. Solve the following pair of equations by reducing them
2. A fraction becomes equal to 4/5 if 1 is added to both
3. 5 pencils and 7 pens together cost 95 rupees whereas 7 pencils and 5 pens together
4. The perimeter of a rectangular plot is 32m. If the length is increased by 2m. and the
5. 6 pencils and 4 notebooks together cost Rs.90 whereas
1.Prove that the sum of the squares of the sides of a rhombus
2. 'O' is any point inside a rectangle ABCD. Prove that
3. A ladder 25m long reaches a window of building 24m
4. ABC is a right angle triangle, right angled at C
5. construct a triangle PQR where QR=5.5cm, PQ= 6cm
1. Draw the graph of x^2-x-12. Find zeroes. Justify your answer
2. Find the zeroes of quadratic polynomial x^2-2x-8 Verify
3. Find the quadratic polynomial, for the zeroes alpha, beta given in each
4. Verify that 1,-1 and -3 are the zeroes of the cubic polynomial
5. Verify that 1,-1 and -3 are the zeroes of the
6. Solve the quadratic polynomial x^2-3x-4 by graphical method
1. A manufacturer of TV sets produced 600 sets in the third
2. If the geometric progressions 162,54,18,... and 2/81,2/27,2/9,... have their..
3. Find x so that x, x+2, x+6 are consecutive terms of a geometric progression
4. How many 3 digit numbers are divisible by 3
5. In which progression are the perimeters of triangles formed by joining the mid
1. Prove that √3 is irrational | Is log5 base 10 rational number
2. if 2^(x+1)=3^(1-x), find the value of x | Using the Euclid's division lemma
3. Show that cube of any positive integer is of the form 9m, 9m+1 or 9m+8
1. If cosecA+ cotA=k then prove that cosA=(k^2-1)/(k^2+1)
2. Show that (cosecA-cotA)^2=(1-cosA)/(1+cosA)|(sinA+cosecA)^2+(cosA+secA
3. Prove that (1+tan^2 A)+(1+1/tan^2 A) = 1/(sin^2 A-sin^4A)
4. A tree breaks due to storm and the broken part bends
5. The angles of elevation of the top of a tower from two points at
6. Prove that (sinA-cosecA)^2+(cosA-secA)^2=(cot^2)A+(tan^2)A-1
7. Two poles of equal heights are standing opposite to each other on either
8. In ∆ABC and ∆XYZ, if angleA and angle X are acute angles such that cosA=cosX then
9. Given DE||BC, AD=4.5cm, BD=9cm and EC=8cm
10. In a right angle triangle ABC, right angle is at B, if tanA=√3, then find the
11. In ∆XYZ, right angle is at Y, YZ=x and XZ=2x then determine angleYXZ
12. Prove that (sinA-cosA+1)/(sinA+cosA-1)=1/(secA-tanA)
13. If tanA=5/12, then find secA and cosecA
14. In triangle ABC LM||BC AL/LB=2/3, AM=5. Find AC
15. Prove that 1+tan^2(A)/1+cot^2(A)=(1+tanA)/(1+cotA)
16. If cosecA+cotA=2 then find cosA|Prove that (1+secA)/secA=(sin^2A)/(1-cosA)
17. Prove that (cotA-cosA)/(cotA+cosA)=(cosecA-1)/(cosecA+1)
18. Two angles are complementary and one angle is 18°
19. If cosec theta+cot theta =k then prove that cos theta=
20. Show that (cosec theta - cot theta)^2=(1-cos theta)/
21. Prove that (sin theta+cosec theta)^2+(cos theta+sec theta)^2
22. Prove that (1+tan^2 theta)+(1+1/tan^2 theta)=1/
23. If 4sin^2 theta-1=0 then find theta (theta less than 90)
24. Prove that (sin theta-cosec theta)^2+(cos theta-sec theta)^2=
25. In a right angle triangle ABC, right angle is at B
26. find the value of cosA.cosC-sinA.sinC
27. Prove that sin theta-cos theta+1 by sin theta+cos theta-1=1 by
28. Prove that (1+sec theta)/sec theta=sin square theta/(1-cos theta)
29. Prove that (cosecA-sinA).(secA-cosA)=1/(tanA+cotA)
30. If cosA=7/25, find sinA and cosecA. What do you observe
31. The length of shadow of a pole is equal to the length of the pole
1. Find the point on the X-axis which is equidistant from
2. Find the relation between x and y such that the point (x,y) is equidistant from
3. Find the co-ordinates of the points of trisection of the line
4. If the points A(6,1), B(8,2), C(9,4),D(p, 3) are vertices of a
5. Check whether the points (3,0), (6,4), (-1,3) are vertices of
6. Find the value of 'K' for which the points are collinear
7. Find the area of triangle formed by points (2,3), (-1,3) (2,-1) using Heron's formula
8. Find the area of the triangle formed by joining the mid-points of the sides ..
9. Find the area of the quadrilateral whose vertices taken in
10. Show that the points (-4,-7), (-1,2), (8,5) and (5,-4) taken
11. In which ratio does the point P(2,3) divide AB. The points of AB are A(6,9) and
12. If (1,2), (4,y), (x,6) and (3,5) are the vertices of a parallelogram
13. Find the centroid of the triangle formed by the line 2x+3y-6=0 with the coordinate
14. A triangle ABC is formed by the points A(2,3),B(-2,-3),C(4,-3)
15. centre of the circle Q is on the Y-axis and the circle passes
16. If A and B are (-2,-2)&(2,-4) respectively. Find the coordinates of P
17. In what ratio does the point (-4,6) divide the line segment joining
18. Find the centroid of the triangle whose vertices are the points (8,4)
19. Find the equation of the line passing through the point (4,5)
20. Let the circumcenter of a triangle with vertices A(a,3)
21. Let A(α,-2),B(α,6),C(α/4,-2) be vertices of ∆ABC. If
22. In an isosceles triangle ABC, the vertex A is (6,1) and
23. Let B and C be the two points on the line y+x=0 such
24. Let A(1,1),B(-4,3),C(-2,-5) be vertices of a triangle ABC
25. Let m1 and m2 be the slopes of two adjacent sides
26. The equation of the sides AB,BC and CA of a triangle ABC
10th - Tangents and Secants to a Circle
1. Draw a Circle of radius 6 cm. From a point 10cm away from
2. Prove that the parallelogram circumscribing a circle
3. A chord of circle of radius 10cm subtends a right angle
4. Two tangents TP and TQ are drawn to a Circle with centre 'O' from
5. A triangle ABC is drawn to circumscribing a circle of radius
6. A chord of a circle of radius 14cm subtends 120° ...
7. Draw a pair of tangents to a Circle of radius 4cm
8. Find the area of the shaded part of the given figure
9. Find the length of the tangent from a point 13cm away from
1. In △ABC, if AB= 5cm and BC = 8cm then number of possible integrable
2. The probability that a leap year will have 52 Tuesdays|53 sundays
3. solve sin^2 θ−cosθ= 1/4 in the interval(0≤θ≤2π)
4. The three lines x+y=0,3x+y=4,x+3y=4 form a triangle
5. If the three vertices of a rectangular are the points (2,-2) (8,4) (5,7). Find the
6. Find the equation of the line passing through the point (4,5)
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