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Find the pair of tangents form the origi...

Find the pair of tangents form the origin
to the circle `x^(2) + y^(2) + 2gx + 2fy + c = 0`
and hence deduce a condition for these
tangents to be perpendicular.

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Verified by Experts

The correct Answer is:
`g^(2) + f^(2) = 2 c `
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(e)
  1. Find the number of possible common tangents that exist for the follo...

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  2. Find the number of possible common tangents that exist for the follo...

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  3. Find the number of possible common tangents that exist for the follo...

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  4. Find the number of possible common tangents that exist for the follo...

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  5. Find the internal centre of similitude for the circles x^(2) + y^(2)...

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  6. Find the external centre of similitude for the circles x^(2) + y^(2...

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  7. Show that the circle x^(2) +y^2) - 6x -2y + 1 = 0, x^(2) + y^(2)...

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  8. Show thet x^(2) + y^(2) - 6x - 9y + 13 = 0 , x^(2) + y^(2) - 2x - 1...

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  9. Find the equation of the circle which touches the circle x^(2) + y^(...

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  10. Find the direct common tangents of the circles. x^(2) + y^(2) + 2...

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  11. Find the transverse common tangents of the circles x^(2) + y^(2) -4...

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  12. Find the pair of tangents from (4, 10) to the circle x^(2) + y^(2) =...

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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 thhe equation of the circle which touches x^(2) + y^(2) - 4x +6...

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  15. Find all common tangents of the following pairs of circles. x^(2) ...

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  16. Find all common tangents of the following pairs of circles. x^(2) ...

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

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

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

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  20. From a point on the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 two tan...

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