TS Polycet (Polytechnic) 2019 Previous Question Paper with Answers And Model Papers With Complete Analysis

Q). Total surface area of a hemisphere is
A) 2π r²
B) 3π r²
C) 4π r²
D) π r²

Q). If the radius of base of a cylinder is doubled and the height remains unchanged, then its curved surface area is
A) double
B) three times
C) four times
D) no change

Q). If a right-angled triangle is revolved about its hypotenuse, then it will form a
A) Sphere
B) Cube
C) Cone
D) Cylinder

Q). tan 85° tan 65° tan 45° tan 25° tan 5° =
A) 1
B) 0
C) -1
D) None of these

Q). If sin 18° = cos x, then x =?
A) 73°
B) 37°
C) 72°
D) 84°

Q). =
A) sec θ
B) tan θ
C) sin θ
D) cot θ

View Answer

B) tan θ
Explanation: = tanθ

Q). If ∠A = 60°, then 3sin³A – 4sinA =
A)
B)
C)
D)

View Answer

A)
Explanation: 3(sin 60°)³ – 4sin 60° =
=
=

Q). If a cos θ + b sin θ = p; a sin θ- b cos θ = q, then which of the following conditions is true?
A) a² + b² = p² + q²
B) a² + b² = P²-q²
C) a²-b² = p² + q²
D) a²-b²=p²-q²

Q). If tan α = 1/2., tan β = 1/3, then (α+β)=
A) 30°
B) 60°
C) 45°
D) 0°

View Answer

C) 45°
Explanation: tanα = 1/2., tan β = 1/3,
Tan (α+β) =
= = 1
∴ (α+β) = 45°

Q). If the angle of elevation of the sun is 60°, then the ratio of the height of a tree with its shadow is
A) 1 : 1
B) 1 : √3
C) √3 : 1
D) None of these

View Answer

C) √3 : 1
Explanation: tan 60°= h/x
⇒ √3/1 = h/x ⇒ h : x = √3 : 1