Verified Solution • 2025–26 Session moderate

QJEEM21Ma56c1: JEE Main 2021 Mathematics - Class 11 JEEM21Ma56c1 Solution: In the circle given below, let OA = 1 unit, OB = 13 unit and PQ …

In the circle given below, let OA = 1 unit, OB = 13 unit and PQ ⊥\bot OB. Then, the area of the triangle PQB (in square units) is :

JEE Main 2021 (Online) 26th February Morning Shift Mathematics - Circle Question 95 English

Multiple Choice Options

  • A 24 2\sqrt 2
  • B 24 3\sqrt 3
  • C 26 2\sqrt 2
  • D 26 3\sqrt 3

Step-by-Step Verified Solution

JEE Main 2021 (Online) 26th February Morning Shift Mathematics - Circle Question 95 English Explanation

Let PA = AQ = λ\lambda

OA . AB = AP . AQ

⇒\Rightarrow 1.12 = λ\lambda . λ\lambda

⇒\Rightarrow λ\lambda = 2 3\sqrt 3

Area Δ\Delta PQB = 12{1 \over 2} ×\times 2 λ\lambda ×\times AB

Δ\Delta = 12{1 \over 2} . 4 3\sqrt 3 ×\times 12

= 24 3\sqrt 3

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