Q1. Height of right circular cone is constant but its radius increased by 10% . Find the increase in volume(in percentage).

(a) 21% (b) 16% (c) 19% (d) 24%

Q2. The surface area of two spheres are in the ratio 4:9, find the ratio of their volumes.

(a) 5:11 (b) 4:9 (c) 1:2 (d) 8:27

Q3. How many spheres of radius 0.5 cm can be created on melting the sphere of radius 4 cm?

(a) 120 (b) 300 (c) 512 (d) 600

Q4. Find the value of cosθ + √3 sinθ = 2 , if 0 ≤ θ ≤ π/2.

(a) 60^o (b) 30^o (c) 90^o (d) 45^o

Q5. tan(x + y) . tan(x - y) = 1, so find the value of tan(4x/3).

(a) 2/√3 (b) √3 (c) 1 (d) 2

Q6. Find the value of :
tan(π/4 + θ) - tan(π/4 - θ)

(a) 2 sinθ (b) 2tan2θ (c) tan2θ (d) tanθ

Q7. Find the area of triangle which is developed by x = 0 , y = 0, 2x + 3y = 12 .

(a) 24 unit² (b) 12unit² (c) 10unit² (d) 8unit²

Q8. find the center of the circle 4x² + 4y² = 16

(a) (0,0) (b) (1.0) (c) (4,0) (d) (16,0)

Q9. Find the angle between the lines 3x + y = 7 and x + 2y + 9 = 0

(a) 45^o (b) 60^o (c) 90^o (d) 30^o

Q10. The ratio of perpendicular bisectors of two triangles are in the ratio , 4:5 and the ratio of their areas is 4:3. Find the ratio of their bases.

(a) 5:3 (b) 6:5 (c) 1:2 (d) 2:1