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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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AAKASH SERIES-CIRCLE-EXERCISE -1.2
  1. Find the length of the chord intercepted by the circle x^(2) + y^(2)...

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

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

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

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

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  6. Find the equation of the circle passing through (0,0) and making int...

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  7. (i) Find the equation of the circle passing through (0,0) and making i...

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  8. If S-=x^(2)+y^(2)+2gx=2fy+c=0 represents a circle then show that the s...

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  9. If S-=x^(2)+y^(2)+2gx=2fy+c=0 represents a circle then show that the s...

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  10. If S-=x^(2)+y^(2)+2gx=2fy+c=0 represents a circle then show that the s...

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

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  12. Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches ...

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  13. Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches ...

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

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  15. Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(...

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  16. If 4-3y+7 = 0 is a tangent ot the circle repesented by x^(2) + y^(2)...

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

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

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

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  20. Fing the length of tangent from P to the ltbr., circle S = 0 when P ...

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