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MHT CET · Maths · Circle

The equations of the tangents to the circle \(x^2+y^2=36\) which are perpendicular to the line \(5 x+y-2=0\) are

  1. A \(x-5 y \pm 6 \sqrt{26}=0\)
  2. B \(x+5 y \pm 6 \sqrt{26}=0\)
  3. C \(x-5 y \pm \sqrt{26}=0\)
  4. D \(x+5 y \pm \sqrt{26}=0\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(x-5 y \pm 6 \sqrt{26}=0\)

Step-by-step Solution

Detailed explanation

\(r = \sqrt{36} = 6\) Slope of given line \(m_1 = -5/1 = -5\)