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

51)In the adjacent figure, x =

A) 5.8 cm

B) 6.8 cm

C) 4.8 cm

D) 3.8 cm

View Answer

C) 4.8 cm
Explanation:PA x PB = PD2 ⇒ 49 = 5(x + 5)
49 = 5x + 25 ⇒ 5x = 24 => x = 4.8
52)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

View Answer

A) 462 cm2
53)A secant intersects the circle at _______________ point(s)

A) single

B) two

C) three

D) None

View Answer

B) two
54)How many tangents can be drawn to a circle from a point outside the circle?

A) 1

B) 2

C) 3

D) None

View Answer

B) 2
55)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

View Answer

B) 4 : 4 : √5
56)The volume of the cone =

A) 4/3 πr2

B) 1/3 πr2h

C) πr2h

D) 1/2 πr2h

View Answer

B) 1/3 πr2h
57)If the diagonal of a cube is 4√3, then the side of the cube is

A) 1

B) 2

C) 3

D) 4

View Answer

D) 4
Explanation:4√3 x side x√3 ⇒ side = 4
58)If the volume of a hemisphere is 19404 cm3 then its radius is

A) 7

B) 14

C) 21

D) 28

View Answer

B) 14
Explanation:Volume of a hemisphere = 19404 cm3
2/3 πr3 = 19404
2/3×22/7x r3 = 19404
R3 = 19404×7/22×3/2
= 882x7x3/2 = 441×21
= 21x21x21 = (21)3
∴ Radius = 21
59)If x = cosθ + sinθ and y = cosθ – sinθ, then x2 + y2 =

A) 0

B) 1

C) -1

D) 2

View Answer

D) 2
Explanation:x = cosθ + sinθ
x2 = cos2θ + sin2θ + 2sinθ cosθ
y = cosθ -sinθ
y2 = cos2θ + sin2θ -2 sinθ cosθ
By addings (x2) and (y2)
x2 + y2 = 2(cos2θ + sin2θ)
= 2 x 1
=2
60)sin (A + B) cos (A – B) + sin (A – B) cos (A + B) =

A) sin2A

B) sin2B

C) cos2A

D) cos2B

View Answer

A) sin2A
Explanation:sinA cosB + cosA sinB = sin(A + B)
sin(A + B + A -B) = sin(2A)
= sin2A
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