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Polar of the origin w.r.t. the circle x...

Polar of the origin w.r.t. the circle `x^2+y^2+2ax+2by+c=0` touches the circle `x^(2)+y^(2)=r^(2)` if

A

`c=r(a^(2)+b^(2))`

B

`r=c(a^(2)+b^(2))`

C

`c^(2)=r^(2)(a^(2)+b^(2))`

D

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

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  2. If the polars of points on the circle x^2+y^2=a^2 w.r.t. the circle x^...

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  3. Polar of the origin w.r.t. the circle x^2+y^2+2ax+2by+c=0 touches the...

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  4. A tangent at a point on the circle x^(2)+y^(2)=a^(2) intersects a conc...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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