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The polar of a given point which respect...

The polar of a given point which respect to any one of the circles `x^(2)+y^(2)-2kx+c^(2)=0`, (k is a varaible) always passes through a fixed point whatever to be the value of k is

A

`(x_(1),(x^(2)-c^(2))/(y_(1)))`

B

`(x_(1),x^(2)-c^(2))`

C

`((x_(1)^(2)-c^(2))/(y_(1)),-x_(1))`

D

`(-x_(1),(x_(1)^(2)-c^(2))/(y_(1)))`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-CIRCLES-EXERCISE II
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  3. The polar of a given point which respect to any one of the circles x^(...

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  4. The polars of two points A(1,3), B(2,-1) w.r.t to circle x^(2)+y^(2)=9...

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  5. The polars of points (1,7) (2,6) and (t,5) with respect to a circle co...

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  6. Each side of DeltaABC is the polarof the opposite vertex with respect ...

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

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  8. Assertion (A): The polar of centre of circle w.r.t same circle does no...

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  9. Assertion (A): A line through the point P(5,10) cut the line x+2y=5 at...

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  10. The polar of a point P w.r.t. a circle of radius a touching both x and...

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  11. If the length of the tangent from two points A,B to a circle are 6,7 r...

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  12. For the circle x^(2)+y^(2)-2x-4y-4=0, then lines 2x+3y-1=0, 2x+y+5=0 a...

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  13. The conjugate line 3x+4y-45=0 with respect to x^(2)+y^(2)-6x-8y+5=0 wh...

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  14. The locus of the poles of the line ax+by+c=0 w.r.t a system of circles...

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  15. The locus of poles of tangents to the circle x^(2)+y^(2)=a^(2) w.r.t t...

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  16. A point P is taken on the circle x^(2)+y^(2)=a^(2) and PN, PM are draw...

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  17. The inverse point of (2,-3) w.r.t to circle x^(2)+y^(2)+6x-4y-12=0 is

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  18. If the inverse of P(-3,5) w.r.t to a circle is (1,3) then polar of P w...

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

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  20. If the tangent at (3,-4) to the circle x^(2)+y^(2)-4x+2y-5=0 cuts the ...

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