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TS EAMCET · Maths · Circle

Let \(A\) be the centre of the circle \(x^2+y^2-2 x-4 y-20=0\). If the tangents drawn at the point \(B(1,7)\) and \(D(4,-2)\) on the given circle meet at the point \(C\), then the area of the quadrilateral \(A B C D\) is

  1. A 60
  2. B 65
  3. C 70
  4. D 75
Verified Solution

Answer & Solution

Correct Answer

(D) 75

Step-by-step Solution

Detailed explanation

Equation of circle \[ x^2+y^2-2 x-4 y-20=0 \] Centre of circle \((1,2)\), radius \(=5\) Equation of tangents at \((1,7)\) is…