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The circle passing through the point (-1...

The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point:

A

`( -3//2,0)`

B

`(- 5//2,2)`

C

`(-3//2,5//2)`

D

`(-4,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
Equation of circle touching the y-axis at (0,2) is
`(x-0)^(2)+(y-2)^(2)+lambdax =0`
It passes through `(-1,0)` . Therefore,
`1+4-lambda =0` or `lambda =5`
`:. `Equation of circle is
`x^(2)+y^(2)+5x-4y+4=0`
Putting `y=0` , we get ` x= -1,-4`
Therefore, the circle passes through `(-4,0)`
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