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The pole of a straight line with respect...

The pole of a straight line with respect to the circle `x^(2)+y^(2)=a^(2)` lies on the circle `x^(2)+y^(2)=9a^(2)`. If the straight line touches the circle `x^(2)+y^(2)=r^(2)`, then

A

`9a^(2)=r^(2)`

B

`9r^2=a^(2)`

C

`r^(2)=a^(2)`

D

none

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
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  11. The locus of the poles of the line ax+by+c=0 w.r.t a system of circles...

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  12. The locus of the poles of the line 2x+3y-4=0 w.r.t. the circle x^(2)+y...

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  13. The inverse point of (1,-1) with respect to the circle x^(2)+y^(2)=4, ...

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  14. The inverse point of origin w.r.t. the circle x^(2)+y^(2)+2gx+2fy+c=0 ...

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  15. The inverse point of (1,2) origin w.r.t. the circle x^(2)+y^(2)-4x-6y+...

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  16. The inverse point of (1,2) w.r.t. the circle x^(2)+y^(2)=25, is (5,k) ...

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  17. The inverse point of (x(1),y(1)) w.r.t. the circle x^(2)+y^(2)=a^(2)" ...

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  18. For the circle x^(2)+y^(2)-6x+8y-1=0, points (2,3), (-2,-1) are

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  19. For the circle x^(2)+y^(2)-3x-5y+1=0, the points (4,2), (3,-5) are

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