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If the tangent at the point on the circl...

If the tangent at the point on the circle `x^2+y^2+6x +6y=2` meets the straight ine `5x -2y+6 =0` at a point Q on the y- axis then the length of PQ is

A

4

B

`2sqrt(5)`

C

5

D

`3sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
The line `5x-2y+6=0` cuts y-axis y at Q(0, 3).
Clearly, PQ is the length of the tangent drawn from Q on the circle `x^(2)+y^(2)+6x+6y-2=0`.
`:.PQ=sqrt(0+9+6xx0+6xx3-2)=5`
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OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
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  13. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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