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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_(1)^(2)-c^(2))/(y_(1)))`

B

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

C

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

D

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

Text Solution

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

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  5. If the points (k,1) (2,-3) are conjugate w.r.t. x^(2)+y^(2)+4x-6y-12=0...

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  6. The point (4,-2), (3,b) are conjugate w.r.t. the circle x^(2)+y^(2)=24...

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  7. If (4,2) and (k,-3) are conjugate points with respect to x^(2)+y^(2)-5...

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  8. 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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  9. For the circle x^(2)+y^(2)-6x-6y+5=0" the lines "3x+y-2=0, x+7y-11=0 a...

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  11. If the lines x+2y+K=0, x+y-3=0 are conjugate w.r.t. x^(2)+y^(2)=9", t...

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  12. If the lines x+2y+k=-, x+y-3=0 are conjugate w.r.t. the circle x^(2)+y...

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  13. If the lines kx+2y-4=0 and 5x-2y-4=0 are conjugate with respect to the...

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  14. The polar of three points with respect to a given circle are concurren...

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

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  16. The straight line x-2y+1=0 intersects the circle x^(2)+y^(2)=25 in poi...

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  17. The line 4x+4y-11=0 intersects the circle x^(2)+y^(2)-6x-4y+4=0 at A a...

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  18. The point ef intersection of the tangents to the circle passing throug...

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  19. Let A and B be two fixed points. If a perpendicular p is drawn fros A ...

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  20. The lengths of the tungents from the points A and B to the circle are ...

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