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TS EAMCET · Maths · Circle

A circle passes through the points 1,2,3,4. If its centre lies on the line x-y+3=0, then its radius is equal to

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

Answer & Solution

Correct Answer

(D) 2

Step-by-step Solution

Detailed explanation

Let the equation of circle be x2+y2+2gx+2fy+c=0 So centre will be -g,-f and given centre lie on x-y+3=0, So g-f=3 or g=f+3 .......1 Aslo given cirlce is passing through 1,2 & 3,4, So 2g+4f+c=-5 ......2 And 6g+8f+c=-25 ........3 Now solving…