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NTA Abhyas JEE Main2020MathematicsCirclePractice

From the point P 4,0 the tangents P A and P B are drawn to the circle x 2 + y 2 = 4 . If point Q lies on the circle, then the square of the maximum area (in sq. units) of ∆ Q A B is equal to

Options

  1. A12
  2. B27
  3. C48
  4. D45

Correct answer

B. 27

Step-by-step solution

Equation of A B is x = 1 and P A = 2 3 ⇒ A M = 12 - 9 = 3 ⇒ A B = 2 3 Area ∆ Q A B m a x = 1 2 A B Q M = 1 2 2 3 3 = 3 3 square units

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