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AP EAMCET · Maths · Circle

The equation of radical axis of the circles x2+y2+4x+6y+7=0 and 4x2+4y2+8x+ 12 y-9=0 is

  1. A x+y+1=0
  2. B 8 x+12 y=0
  3. C 8 x+12 y+37=0
  4. D 2 x+3 y+7=0
Verified Solution

Answer & Solution

Correct Answer

(C) 8 x+12 y+37=0

Step-by-step Solution

Detailed explanation

Given: S1: x2+y2+4x+6y+7=0 S2: 4x2+4y2+8x+12y-9=0 Equation of radical axis of circles is S1-S2=0 S1: x2+y2+4x+6y+7=0 S2: x2+y2+2x+3y-94=0 Radical axis: S1-S2=0 ⇒ x2+y2+4x+6y+7-x2+y2+2x+3y-94=0 ⇒ 2x+3y+374=0 ⇒ 8x+12y+37=0