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Show that the area of the triangle forme...

Show that the area of the triangle formed
by the two tangents through `P(x_(1), y_(1))` to
the circle `S -= x^(2) + y^(2) +2gx + 2fy +c =0`
and the chord of contact of P with respect
to `S= 0`is `(r(S_(11))^(3//2))/(S_(11)+r^(2))` where `r` is the radius
of the circle.

Text Solution

Verified by Experts

The correct Answer is:
`=(r(S_(11))^(3//2))/(S_(11)+r^(2))`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(e)
  1. Show that the area of the triangle formed by the two tangents throug...

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  2. Discuss the relative position of the fol- lowing pair of circles. ...

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  3. Discuss the relative position of the fol- lowing pair of circles. ...

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  4. Discuss the relative position of the fol- lowing pair of circles. ...

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  5. Discuss the relative position of the fol- lowing pair of circles. ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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