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The locus of the point, the chord of con...

The locus of the point, the chord of contact of which wrt the circle `x^(2)+y^(2)=a^(2)` subtends a right angle at the centre of the circle is

A

`x^(2)+y^(2)=a^(2)/2`

B

`x^(2)+y^(2)=a^(2)/3`

C

`x^(2)+y^(2)=2a^(2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
  1. A tangent at a point on the circle x^(2)+y^(2)=a^(2) intersects a conc...

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

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  3. The locus of the point, the chord of contact of which wrt the circle x...

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  4. The locus of the point, whose chord of contact w.r.t the circle x^(2)...

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  5. The condition that the chord of contact of the point (b,c) w.r.t. to t...

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

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

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  8. 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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  9. The area of the triangle formed by the tangents from (1,3) to the circ...

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

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  11. The locus of the poles of the line 2x+3y-4=0 w.r.t. the circle x^(2)+y...

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  12. The inverse point of (1,-1) with respect to the circle x^(2)+y^(2)=4, ...

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  13. The inverse point of origin w.r.t. the circle x^(2)+y^(2)+2gx+2fy+c=0 ...

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

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  15. The inverse point of (1,2) w.r.t. the circle x^(2)+y^(2)=25, is (5,k) ...

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  16. The inverse point of (x(1),y(1)) w.r.t. the circle x^(2)+y^(2)=a^(2)" ...

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  17. For the circle x^(2)+y^(2)-6x+8y-1=0, points (2,3), (-2,-1) are

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  18. For the circle x^(2)+y^(2)-3x-5y+1=0, the points (4,2), (3,-5) are

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  19. For the circle x^(2)+y^(2)-2x+2y+1=0, the points (-6,1),(2,3),(14/15,-...

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  20. The equation of the chord of the circle x^(2)+y^(2)=25 with (1,-1) as ...

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