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TS EAMCET · Maths · Circle

The line \(4 x+3 y-4=0\) divides the circumference of a circle in the ratio \(1: 2\). If \(\mathrm{C}(5,3)\) is the centre of that circle, then equation of the circle is

  1. A \((x-5)^2+(y-3)^2=10^2\)
  2. B \((x-5)^2+(y-3)^2=12^2\)
  3. C \((x-5)^2+(y-3)^2=7^2\)
  4. D \((x-5)^2+(y-3)^2=8^2\)
Verified Solution

Answer & Solution

Correct Answer

(A) \((x-5)^2+(y-3)^2=10^2\)

Step-by-step Solution

Detailed explanation

Since line divides the circumference of circle in ratio \(1: 2\)…