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If y = mx + c and x^(2) + y^(2) = a^(2) ...

If y = mx + c and `x^(2) + y^(2) = a^(2) ` intersect at A and B and 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. If y = mx + c and x^(2) + y^(2) = a^(2) intersect at A and B and if ...

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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 the ...

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

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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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