TS Polycet (Polytechnic) 2017 Previous Question Paper with Answers And Model Papers With Complete Analysis

Q). In the adjacent figure, x =

A) 5.8 cm
B) 6.8 cm
C) 4.8 cm
D) 3.8 cm

Q). The length of the minute hand of a clock is 21 cm. The area swept by the minute hand in 20 minutes is
A) 462 cm²
B) 362 cm²
C) 562 cm²
D) None

Q). A secant intersects the circle at _______________ point(s)
A) single
B) two
C) three
D) None

Q). How many tangents can be drawn to a circle from a point outside the circle?
A) 1
B) 2
C) 3
D) None

Q). If a sphere, a cylinder and a cone have the same radius and same height, then the ratio of their curved surface areas is
A) 2 : √3 : 4
B) 4 : 4 : √5
C) 3 : √5 : 4
D) None

Q). The volume of the cone =
A) 4/3 πr²
B) 1/3 πr²h
C) πr²h
D) 1/2 πr²h

Q). If the diagonal of a cube is 4√3, then the side of the cube is
A) 1
B) 2
C) 3
D) 4

Q). If the volume of a hemisphere is 19404 cm³ then its radius is
A) 7
B) 14
C) 21
D) 28

Q). If x = cosθ + sinθ and y = cosθ – sinθ, then x² + y² =
A) 0
B) 1
C) -1
D) 2

Q). sin (A + B) cos (A – B) + sin (A – B) cos (A + B) =
A) sin2A
B) sin2B
C) cos2A
D) cos2B