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If the polars of the points (x1,y1) ,(x2...

If the polars of the points `(x_1,y_1) ,(x_2,y_2) and (x_3,y_3) ` with respects to a circle are concurrent , prove that these points are collinear.

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AAKASH SERIES-CIRCLE-EXERCISE -1.3
  1. Tangents are drawn to the circle x^(2) + y^(2) = 16 from the point ...

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

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

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

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  5. Show that the points (4,2) (3,-5) are conjugate points with respect ...

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

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

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  8. Find the value of k if the points (1,3) and (2,k) are coujuate with ...

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

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

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

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

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

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

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

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

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  17. Find the chord of contact of (1,1 ) with respect to the circle x...

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  18. Find the chord of contact of (0,5) with respect to the circle x(...

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  19. Find the polar of (1,2) with respect to x^(2) + y^(2) = 7

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  20. Find the polar of (3, -1) with respect to 2x^(2) + 2y^(2) = 11

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