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AP EAMCET · Maths · Circle

The radius of the circle whose centre lies at (1,2), while cutting the circle x2+y2+4x+16y-30=0 orthogonally, in units.

  1. A 41
  2. B 31
  3. C 21
  4. D 11
Verified Solution

Answer & Solution

Correct Answer

(D) 11

Step-by-step Solution

Detailed explanation

Given circle equation is x2+y2+4x+16y-30=0 By comparing with x2+y2+2gx+2fy+c=0 2g=4, 2f= 16 & c=-30 Centre = C1 = -g, -f = -2, -8 Radius = r1 = g2+f2-c = 4+64+30= 98 Other circle centre…