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A circle is drawn to pass through the ex...

A circle is drawn to pass through the extermities of the latus rcetum of the parabola `y^(2)=8x`. It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  9. Prove that the length of the intercept on the normal at the point P(at...

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  10. Find the minimum distance between the curves y^2=4x and x^2+y^2-12 x+3...

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  12. Three normals to y^2=4x pass through the point (15, 12). Show that one...

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

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  15. Find the locus of the point of intersection of the perpendicular tange...

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  17. Find the equation of normaly to the parabola y=x^(2)-x-1 which has equ...

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