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If ax + by + c = 0 is the polar of (1,1)...

If `ax + by + c = 0` is the polar of `(1,1)` with respect to the circle `x^(2) + y^(2) - 2x + 2y `
`+ 1 = 0` and H. C. F. of a, b, c is equal to
one then find `a^(2) + b^(2) + c^(2) .`

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`5`
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AAKASH SERIES-CIRCLE-EXERCISE -1.3
  1. Find the pole of x-2y + 22 = 0 with respect to x^(2) + y^(2) - 5 x ...

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  2. Find the slope of the polar of (1, 3) with respect to the circle x^(...

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  3. If ax + by + c = 0 is the polar of (1,1) with respect to the circle x^...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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