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The lilne y=mx+x and the circle x^(2)+y...

The lilne `y=mx+x` and the circle `x^(2)+y^(2)=a^(2)` intersect at A and B. If `AB=2lambda`, then show that : `c^(2)=(1+m^(2))(a^(2)-lambda^(2))`.

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The correct Answer is:
`therefore c^(2) = (a^(2) - lambda^(2) ) (1 + m^(2))` is the required
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(c)
  1. Find the length of the chord intercepted by the circle x^(2) + y^(2)...

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  2. Find the length of the chord intercepted by the circle x^(2) + y^(2)...

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  3. Fins the length of the cord formed by x^(2) + y^(2) = a^(2) on the...

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  4. Find the equation of circle with centre (2, 3) and touching the line...

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  5. Find the equation of the circle with centre (-3, 4) and touching y-...

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  6. Find the equation of tangents of the circle x^(2) + y^(2) - 8 x - 2y...

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  7. Find the equation of tangents of the circle x^(2) + y^(2)-10 = 0 at ...

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  8. If x^(2) + y^(2) = c^(2) and x/a + y/b = 1 intersect at A and B, the...

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  9. The lilne y=mx+x and the circle x^(2)+y^(2)=a^(2) intersect at A and ...

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  10. Find the equation of the circle with centre (-2, 3) cutting a chord le...

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  11. Find the equation of tangent and normal at (3, 2) of the circle x^(2...

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  12. Find the equation of the tangent and normal at (1, 1) to the circle...

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  13. Prove that the tangent at (3,-2) of the circle x^(2) + y^(2) = 13 ...

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  14. Show that the tangent at (-1, 2) of the circle x^(2) + y^(2) - 4x -...

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  15. find the equation of the tajngents ot the circle x^(2) + y^(2) - 4x ...

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  16. Find the equations of the tangent of the circle x^(2) + y^(2) + 2x - ...

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  17. Find the equation of the tangents to the circle x^(2) + y^(2) -4x - 6...

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  18. Find the equation of the circle passing through (-1,0) and touching ...

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  19. Find the equations of the circles passing through (-1,1) touching t...

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  20. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y +...

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