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AP EAMCET · Maths · Circle

The radical axis of the circles S1:x2+y2-4x+6y-10=0 and S2:x2+y2+2x-6y+2=0 cut the circle S1 in

  1. A two real and distinct points
  2. B one real point
  3. C imaginary points
  4. D can't be determined
Verified Solution

Answer & Solution

Correct Answer

(A) two real and distinct points

Step-by-step Solution

Detailed explanation

Given: S1: x2+y2-4x+6y-10=0 S2: x2+y2+2x-6y+2=0 r=g2+f2-c          c≡-g,-f r1=22+-32+10=23 c1≡-g,-f≡2,-3 r2=-12+32-2=1+9-2=8=22 c2≡-1,3 c1c2=2+12+-3-32 c1c2=9+36 c1c2=45 c1c2=35 r1+r2=23+22 Here,…