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AP EAMCET · Maths · Circle

A circle \(S\) of radius 2 units lies in the first quadrant and touches both the coordinate axes. The equation of the circle with centre at \((6,5)\) and touching the circle \(S\) externally is

  1. A \(x^2+y^2-12 x-10 y+12=0\)
  2. B \(x^2+y^2-12 x-10 y-20=0\)
  3. C \(x^2+y^2-12 x-10 y+25=0\)
  4. D \(x^2+y^2-12 x-10 y+52=0\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(x^2+y^2-12 x-10 y+52=0\)

Step-by-step Solution

Detailed explanation

From figure Centre of given circle \(\left(C_1\right)=(2,2)\) radius \(=2\) units Centre of required circle \(\left(C_2\right)=(6,5)\)…