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AP EAMCET · Maths · Circle

The point which has the same power with respect to each of the circles x2+y2-8x+40=0, x2+y2-5x+16=0 and x2+y2-8x+16y+160=0 is

  1. A 8,152
  2. B 8,152
  3. C 8,152
  4. D 8,152
Verified Solution

Answer & Solution

Correct Answer

(B) 8,152

Step-by-step Solution

Detailed explanation

Given circle equations x2+y2-8x+40=0---(I) x2+y2-5x+16=0----(II) x2+y2-8x+16y+160=0----III Power of point with respect to circle =S1 For point P8, -152 With respect to equation I =64+2254-64+40=3854 With respect to equation II = 64+2254-40+16=3854 With respect to third…