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about to only mathematics

A

4

B

`2sqrt(5)`

C

5

D

`3 sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
3
The line `5x-2y+6=0` is interested by a tangent at P to the circle `x^(2)+y^(2)+6x+6y-2=0` on the y-axis at `Q (0,3)`.
In other words, the tangent passes through (0,3). Therefore, `PQ=` Length of tangent to circle from (0,3)
`sqrt(0+9++18-2)`
`=sqrt(25)=5`
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CENGAGE-CIRCLE -Exercise (Single)
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  7. From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn...

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  10. If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a ...

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  13. The greatest integral value of a such that sqrt( 9 - a^2 + 2x - x^2) >...

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  14. The chords of contact of tangents from three points A ,Ba n dC to the ...

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  15. The chord of contact of tangents from a point P to a circle passes thr...

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  16. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

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  17. Tangents PA and PB are drawn to the circle x^(2) +y^(2) = 8 from any a...

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  18. A circle with radius |a| and center on the y-axis slied along it and a...

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  19. Consider a circle x^2+y^2+a x+b y+c=0 lying completely in the first qu...

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