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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

`2sqrt5`

C

5

D

`3sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
C
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If the tangent at the point P on the circle x^2+y^2+6 x+6 y=2 meets the straight line 5 x-2 y+6=0 at a point Q on the y -axis, then the length of P Q is

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Knowledge Check

  • If the tangent at the point p on the circle x^(2)+y^(2)+6x+6y=2 meets the straight line 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)`

  • If the tangent at point P on the circle x^2+y^2+6x+6y-2=0 meets the straight line 5x-2y+6=0 at a point Q on Y-axis, then length of PQ is

    A
    4
    B
    `2sqrt5`
    C
    5
    D
    `3sqrt5`

  • The length of tangent from the point(1, 2) to the circle 2x^(2)+2y^(2) +6x-6y+3=0 is

    A
    `sqrt(3)`
    B
    `sqrt((3)/(2))`
    C
    `2sqrt(3)`
    D
    none

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