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AP EAMCET · Maths · Circle

From a point \(P(0, b)\) two tangents are drawn to the circle \(x^2+y^2=16\) and these two tangents intersect \(X\)-axis is two points \(A\) and \(B\). If the area of \(\triangle P A B\) is minimum, then the equation of its circumcircle is

  1. A \(x^2+y^2=16 \sqrt{2}\)
  2. B \(x^2+y^2=64\)
  3. C \(x^2+y^2=32\)
  4. D \(x^2+y^2=4 \sqrt{2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(x^2+y^2=32\)

Step-by-step Solution

Detailed explanation

Equation of pair of tangents from point \((0, b)\) drawn to the circle \(x^2+y^2=16\) is For point \(A\) and \(B\), put \(y=0\), then we are getting…