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NTA Abhyas JEE Main2020MathematicsCirclePractice

The equation of the chord A B of the circle x 2 + y 2 = 2 passing through the point P 2 ,   2 such that P B P A = 3 is given by

Options

  1. Ax = 3 y
  2. Bx = y
  3. Cy - 2 = 3 x - 2
  4. DNone of these

Correct answer

B. x = y

Step-by-step solution

We know, P A . P B = P T 2 = 2 2 + 2 2 - 2 = 6 …(1) P B P A = 3 …(2) From (1) and (2), we get, P A = 2   ,     P B = 3 2 ⇒   A B = 2 2 . Now, the diameter of the circle is 2 2 (as the radius is 2 ) Hence, the line passes through the center ⇒ y = x

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