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AP EAMCET · Maths · Circle

If one end of the diameter of x2+y2-2x-6y-15=0 is 4,1, then the co-ordinates of the other end is

  1. A (5,-2)
  2. B (-2,5)
  3. C 1,3
  4. D -2,-5
Verified Solution

Answer & Solution

Correct Answer

(B) (-2,5)

Step-by-step Solution

Detailed explanation

Given: The equation of the circle is x2+y2-2x-6y-15=0 ⇒x-12+y-32-25=0 So the centre of the circle is 1,3 and its radius is 5. We know that the centre is mid-point of the diameter. Also one end of the diameter is 4,1 and let other end be a,b. By mid point formula, 1=a+42…
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