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If the pole of the line with respect to the circle `x^(2)+y^(2)=c^(2)` lies on the circle `x^(2)+y^(2)=9c^(2)` then the line is a tangent to the circle with centre origin is

A

`x^(2)+y^(2)=9c^(2)`

B

`9x^(2)+9y^(2)=c^(2)`

C

`3x^(2)+3y^(2)=c^(2)`

D

`81x^(2)+81y^(2)=c^(2)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. If the pole of a line w.r.t to the circle x^(2)+y^(2)=a^(2) lies on th...

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  2. The locus of poles of tangents to the circle (x-p)^(2)+y^(2)=b^(2) w.r...

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

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

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  5. In DeltaABC the midpoints are D,E and F of the sides AB,BC and CA, the...

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  6. If (1, a), (b, 2) are conjugate points with renpcet to the circle x^(2...

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  7. If the lengths of the tangents from two points A, B to a circle are 4,...

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  8. If A and B are conjugate points w.r.t to circle x^(2)+y^(2)=r^(2) then...

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  9. Inverse of (0,0) w.r.t to circle x^(2)+y^(2)-4x-6y+3=0 is

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  10. The midpoint of the chord 3x-y=10 w.r.t x^(2)+y^(2)=18 is

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  11. The mixpoint of chord 2x+y-6=0 of circle x^(2)+y^(2)=9 is

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  12. The length and the midpoint of the chord 4x-3y+5=0 w.r.t. the circle x...

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  13. The pair of tangents from (2,1) to the circle x^(2)+y^(2)=1 is

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  14. The midpoint of chord formed by the polar of (-9,2) w.r.t x^(2)+y^(2)=...

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  15. If (3,-2) is the midpoint of the chord AB of the circle x^(2)+y^(2)-4x...

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  16. Locus of midpoints of chords of circles x^(2)+y^(2)-4x-2y-4=0 which ar...

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  17. From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1 then ...

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  18. The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 whic...

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  19. Angle between tangents at the ends chords of circle (x-1)^(2)+(y-2)^(2...

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  20. The circle x^(2)+y^(2)-4x-6y-12=0, x^(2)+y^(2)+6x-8y+21=0 are

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