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The polar of the point (x(1),y(1)) w.r.t...

The polar of the point `(x_(1),y_(1))` w.r.t. the circle `x^(2)+y^2=a^(2)` meets the coordinate axes in A and B. The area of `triangleOAB` is

A

`a^(2)/(|x_(1)y_(1)|)`

B

`a^(2)/(2|x_(1)y_(1)|)`

C

`a^(3)/(|x_(1)y_(1)|)`

D

`a^(4)/(2|x_(1)y_(1)|)`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
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  2. The polar of the point (t-1, 2t) w.r.t. the circle x^(2)+y^(2)-4x+6y+4...

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  3. The polar of the point (x(1),y(1)) w.r.t. the circle x^(2)+y^2=a^(2) m...

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  4. The polar of the line 8x-2y=11 with respect to the circle 2x^(2)+2y^(2...

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  5. The pole of 3x+4y-45=0 w.r.t. circle x^(2)+y^(2)-6x-8y+5=0 is

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

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  7. If O is the origin and OP, OQ are the tangents to the circle x^(2)+y^(...

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

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  10. The polar of the line ax+by+3a^(2)+3b^(2)=0 w.r.t. to the circle x^(2)...

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  11. The polar of a given point which respect to any one of the circles x^(...

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

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

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

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

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  16. 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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  17. 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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  18. The condition for the lines lx+my+n=0 and m(1)x+m(1)y+n(1)=0 to be con...

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

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