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Let there be two parabolas y^2=4a x and ...

Let there be two parabolas `y^2=4a x` and `y^2=-4b x` (where `a!=ba n d a ,b >0)` . Then find the locus of the middle points of the intercepts between the parabolas made on the lines parallel to the common axis.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. A right-angled triangle A B C is inscribed in parabola y^2=4x , where ...

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  3. Let there be two parabolas y^2=4a x and y^2=-4b x (where a!=ba n d a ,...

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  5. A P is perpendicular to P B , where A is the vertex of the parabola y^...

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  10. Find the angle between the tangents drawn to y^(2)=4x, where it is int...

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  11. How many distinct real tangents that can be drawn from (0,-2) to th...

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  12. Find the angle at which the parabola y^(2)=4xandx^(2)=32y intersect.

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  13. The tangents at the points P and Q on the parabola y^(2)=4ax meet at T...

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  14. The tangents to the parabola y^2=4x at the points (1, 2) and (4,4) mee...

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  15. From an external point P , a pair of tangents is drawn to the parabola...

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  16. If the line x+y=a touches the parabola y=x-x^2, then find the value of...

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  17. Find the slopes of the tangents to the parabola y^(2)=8x which are nor...

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  19. Find the values of alpha so that the point P(alpha^2,alpha) lies insid...

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  20. The locus of the centre of a circle the touches the given circle exter...

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