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If the pole of a straight line with resp...

If 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)`, then the straight line touches the circle

A

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

B

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

C

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

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The equation of the circle which passes through (2a, 0) and has the ra...

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  2. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  3. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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  4. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

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  5. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

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  6. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  7. The equation of the image of the circle x^2+y^2+16x-24y+183=0 by the l...

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  8. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

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  9. Equation of the circle through the origin and making intercepts of 3 a...

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  10. If y=2x is the chord of the circle x^2+y^2-4x=0, find the equation of ...

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  11. The tangent to x^(2)+y^(2)=9 which is parallel to y-axis and does not ...

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  12. The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

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  13. If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at Aa n dB , th...

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  14. The circle x^(2)+y^(2)=4 cuts the circle x^(2)+y^(2)-2x-4=0 at the poi...

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  15. 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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  16. The number of common tangents of the circles x^(2)+y^(2)+4x+1=0 and x...

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  17. The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and ...

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  18. If a circle passes through the point (a, b) and cuts the circle x^2 + ...

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  19. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

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  20. Coordinates of the centre of the circle which bisects the circumferenc...

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