Class -10th
Mathematics
20 mark
45min
1.The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is
(a) 1. (b) -1. (c) 0. (d) 2
2.If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to
(a) √3. (b) ½ (c) 1/√2. (d) 1
3. If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..
(a) -1. (b) 0. (c) 1. (d) 2
4.5 tan² A – 5 sec² A + 1 is equal to
(a) 6. (b) -5. (c) 1. (d) -4
5. What is the minimum value of sin A, 0 ≤ A ≤ 90°
(a) -1. (b) 0. (c) 1. (d) 12
6.The value of tan 60°/cot 30° is equal to:
(a)0. (b)1. ©2. (d)3
7.In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of tan C is:
(a)12/7. (b)24/7. © 20/7. (d) 7/24
8. (Sin 30°+cos 60°)-(sin 60° + cos 30°) is equal to:
(a) 0. . (b) 1+2√3
(c) 1-√3. (d) 1+√3
9.If cos X = a/b, then sin X is equal to:
(a)(b2-a2)/b. (b)(b-a)/b
© √(b2-a2)/b. (d)√(b-a)/b
10.2tan 30°/(1 + tan230°) =
(a)Sin 60° (b)Cos 60°
©tan 60° (d)Sin 30°
11.In a right-angled triangle, the side opposite to the right angle is called:
(a)Base. (b)Hypotenuse
(c)Adjacent. (d)None of the above
12.In a right-angled triangle ABC, if angle B = 90∘
And AB = 5 cm, BC = 12 cm, then what is the value of sin A?
(a)5/12. (b)12/5
(C)5/13. (d)12/13
13.In a right-angled triangle ABC, if angle B = 90∘ And AC = 10 cm, BC = 20 cm, then
what is the value of tanA ?
(a)1/2. (b)4/3
(C)3/5. (d)4/5
14.A flagpole 15 meters high is casting a shadow that has a length of 9 meters. Find
the angle of elevation of the sun?
(a)30 degrees. (b)45 degrees
(C)60 degrees. (d)75 degrees
15.A man standing on the top of a building of height 20 meters observes the angle of
depression of a car on the road to be 45 degrees. What is the distance between the car
and the foot of the building?
(a)20 meters. (b)25 meters
(C)30 meters (d)40 meters
16.In a triangle ABC, if sinA=3/5And cosB=5/13, then what is the values of cot C?
(a)13/3 (b)3/13. (C)5/3 (d)3/5
17.If the length of the shadow of a tree is decreasing then the angle of elevation is:
(a)Increasing (b)Decreasing
(C) Remains the same (d)None of the above
18.If a tower 6m high casts a shadow of 2√3 m long on the ground, then the sun’s
elevation is:
(a)60°. (b)45°. (C) 30°. (d)90°
19.When the shadow of a pole h metres high is √3h metres long, the angle of elevation
of the Sun is
(a)30°. (b)60°. (C)45°. (d)15°
20. If the height and length of a shadow of a tower are the same, then the angle of
elevation of Sun is
(a)30°. (b)60° (C)45° (d)15°
