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AP EAMCET · Maths · Circle

The locus of the point of intersection of perpendicular tangents drawn to the circle \(x^2+y^2=10\) is

  1. A \(x^2+y^2=5\)
  2. B \(x^2+y^2=20\)
  3. C \(x^2+y^2=25\)
  4. D \(x^2+y^2=100\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(x^2+y^2=20\)

Step-by-step Solution

Detailed explanation

Locus of points of intersection of perpendicular tangents is the director circle. Given circle is \(x^2+y^2=10\). \(\therefore\) Director circle is \(x^2+y^2=20\) is the required locus.