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TS EAMCET · Maths · Circle

If the circles (x-2)2+(y-3)2=25 and 25x2+25y2-40x-70y-160=0 touch internally at α,β then α+β=

  1. A 0
  2. B -2
  3. C -1
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(B) -2

Step-by-step Solution

Detailed explanation

In first circle, x-22+y-32=25 x-22+y-32=52   …1 Compare equation 1 with, x-h2+y-k2=r2 h=2, k=3 & r1=5 Centre of circle 1 is h,k=2,3 And it's radius is =5 unit For Second circle, 25x2+25y2-40x-70y-160=0 25x2+y2-85x-145y-325=0…