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The locus of poles of tangents to the ci...

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

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The locus of poles of tangents to the circle x^(2)+y^(2)=a^(2) w.r.t the circle x^(2)+y^(2)+2ax-a^(2)=0 is

Show that the poles of the tangents to the circle x^(2)+y^(2) = a^(2) with respect to the circle (x+a)^(2)+y^(2)=2a^(2) lie on y^(2) +4ax =0 .

The pole of a straight line with respect to the circle x^(2)+y^(2)=a^(2) lies on the circle x^(2)+y^(2)=9a^(2) . If the straight line touches the circle x^(2)+y^(2)=r^(2) , then

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AAKASH SERIES-CIRCLE-EXERCISE -1.3
  1. If ax + by + c = 0 is the polar of (1,1) with respect to the circle x^...

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  2. Find the coordinates of the point of intersection of tangent at the po...

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  3. (prove that) If the polar of the points on the circle x^(2) + y ^(2)...

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  4. Tangents are drawn to the circle x^(2) + y^(2) = 16 from the point ...

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  5. Find the locus of the point whose polars with respect to the circles x...

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

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  7. If the polars of the points (x1,y1) ,(x2,y2) and (x3,y3) with respec...

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  8. Show that (-6,1) and (2,3) are conjugate points w.r.t. the circle...

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  9. Show that (-6,1) and (2,3) are conjugate points w.r.t. the circle...

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  10. Show that (4, -2) and (3,-6) are conjugate with respect to the circl...

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  11. if (4,k) and (2,3) are conjugate points with respect to the circle x...

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  12. If (1,3) and (2,k) are conjugate points with respect to the circle x...

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  13. Show thet the lines 2x+3y + 11 =0 and 2x-2y-1=0 are conjugate with r...

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  14. Find the value of k if kx+ 3y - 1 = 0, 2x + y + 5 = 0 are conjugate ...

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

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  16. Find the length and mid-point of the chord 2x+ y-5 with respect to the...

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  17. Find the pair of tangents drawn from (0,0) to x^(2) + y^(2) + 10x + ...

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  18. Find the pair of tangents drawn from (3,2) to the circle x^(2) + y^...

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  19. Find the pair of tangents drawn from (1,3) to the circle x^(2) + y^...

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  20. Find the pair of tangents form the origin to the circle x^(2) + y^(2...

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