Circle 4 Question 5

5. The circle passing through (1,2) and touching the axis of x at (3,0) also passes through the point

(2013 Main)

(a) (5,2)

(b) (2,5)

(c) (5,2)

(d) (2,5)

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Answer:

Correct Answer: 5. (c)

Solution:

  1. Let the equation of circle be (x3)2+(y0)2+λy=0

As it passes through (1,2)

(13)2+(2)2+λ(2)=04+42λ=0λ=4

Equation of circle is

(x3)2+y2+4y=0

By hit and trial method, we see that point (5,2) satisfies equation of circle.



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