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Find the condition that the tangents d...

Find the condition that the tangents
drawn from `(0, 0)` to `S -= x^(2) + y^(2) + 2 gx + 2fy + c = 0` be perpendicular to each lt brgt other.

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The correct Answer is:
`g^(2) + f^(2) = 2c`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(d)
  1. Find the condition that the tangents drawn from (0, 0) to S -= x^(2)...

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

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  3. Find the chord of contact of (1, 1) to the circle x^(2) + y^(2) = 9.

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

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

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  6. Find the polar of (1,-2) with respect of x^(2) + y^(2) - 10 x - 10y ...

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  7. Find the pole of ax + by + c = 0 (cne 0) with respect to x^(2) + y^...

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  8. Find the pole of 3x + 4y -0 45 = 0 with respect to x^(2) + y^(2) - ...

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  9. Find the pole of x-2y + 22 = 0 with respect to x^(2) + y^(2) - 5 x ...

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  10. Show that the points (-6,1) and (2,3) are conjugate points with resp...

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

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

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  13. Find the value of k if x + y - 5 = 0 2x + ky - 8 = 0 are conjugate...

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

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  15. Find the value of k if the points (4,2) and (k-3) are conjugate points...

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  16. Find the angle between the tangents drawn from (3, 2) to the circle ...

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  17. Find the angle between the pair of tangents drawn from (1, 3) to the...

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  18. Find the angle between the pair of tangents drawn from (0,0) to the ...

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  19. Show that the locus of P where the tangents drawn from P to the circle...

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  20. Find the locus of P if the tangents drawn from P to x^(2) + y^(2) =...

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