TS Polycet (Polytechnic) 2022 Previous Question Paper with Answers And Model Papers With Complete Analysis

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Polycet Mock Test

41) RP and R are the two tangents to the circle ‘O’ and ∠POQ=110° then ∠PRQ=
TS POLYCET 2022

A) 70°
B) 90°
C) 35°
D) 100°

View Answer
C) 35°

Explanation:∠POQ = 110°, since tangents from a point are equal and form an isosceles triangle,
Then, ∠PRQ = (180° – ∠POQ)/2 = (180° – 110°)/2 = 35°
42) /2 = (180° – 110°)/2 = 35°

42) /2 = (180° – 110°)/2 = 35°
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43) A circle touches the sides of a quadrilateral ABCD at points P, Q, R and S then which of the following is true?
TS POLYCET 2022

A) AB+CD = AD+BC
B) AB+CD ≤ AD+BC
C) AB+CD ≤ AD+BC
D) AB+BC = AD+DC

View Answer
A) AB+CD = AD+BC

Explanation:A circle inscribed in a quadrilateral touches all four sides ⇒
Sum of opposite sides is equal: AB + CD = AD + BC

44) From the below figure the value of ‘x’ =
TS POLYCET 2022

A) 11
B) 12.83
C) 14
D) 25

View Answer
C) 14

Explanation:Applying Pythagoras Theorem in the triangle:
x^2 = 10^2 + 9^2 = 100 + 81 = 181
⇒ x = \sqrt{181} ≈ 13.45
Closest option: 14

45) In the below figure OB 13 cm; OP = 12 cm and OP⊥AB then the value of AB is
TS POLYCET 2022

A) 5 cm
B) 100 cm
C) 10 cm
D) 75 cm

View Answer
C) 10 cm

Explanation:Triangle OPB is right-angled.
OB² = OP² + (AB/2)² → 13² = 12² + (x)² → 169 = 144 + x² → x² = 25 ⇒ x = 5
AB = 2x = 10

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