1. Tardigrade
  2. Question
  3. Mathematics
  4. A line is drawn through the point P(3, 11) to cut the circle x2 + y2 = 9 at A and B. Then PA ⋅ PB is equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A line is drawn through the point P(3, 11) to cut the circle $x^2 + y^2 = 9$ at A and B. Then $PA \cdot PB$ is equal to

Conic Sections

Solution:

Given circle, $x^2 + y^2 = 9$
image
$PA\times PB = PT ^{2}\quad$ [ By Geometry]
$PA \times PB = \left(3\right)^{2} + \left(11\right)^{2} - 9 = 121$