Circle 5 Question 5

5. Tangents drawn from the point P(1,8) to the circle x2+y26x4y11=0 touch the circle at the points A and B. The equation of the circumcircle of the PAB is

(a) x2+y2+4x6y+19=0

(2009)

(b) x2+y24x10y+19=0

(c) x2+y22x+6y29=0

(d) x2+y26x4y+19=0

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Answer:

Correct Answer: 5. (b)

Solution:

  1. For required circle, P(1,8) and O(3,2) will be the end point of its diameter.

alt text

(x1)(x3)+(y8)(y2)=0x2+y24x10y+19=0



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