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If the length of a focal chord of the pa...

If the length of a focal chord of the parabola `y^2=4a x` at a distance `b` from the vertex is `c ,` then prove that `b^2c=4a^3`.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  8. Find the minimum distance between the curves y^2=4x and x^2+y^2-12 x+3...

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  11. Find the locus of the point from which the two tangents drawn to the ...

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  12. Find the angle between the tangents drawn from the origin to the parab...

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  13. Find the locus of the point of intersection of the perpendicular ta...

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  14. Three normals are drawn from the point (7, 14) to the parabola x^2-8x-...

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  15. Find the equation of normal to the parabola y=x^2-x-1 which has equal ...

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  16. If y=x+2 is normal to the parabola y^2=4a x , then find the value of a...

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  17. Find the equations of normal to the parabola y^2=4a x at the ends of t...

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  18. The coordinates of the ends of a focal chord of the parabola y^2=4a x ...

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  19. If t1a n dt2 are the ends of a focal chord of the parabola y^2=4a x , ...

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  20. If the length of focal chord of y^2=4a x is l , then find the angle be...

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