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An equilateral triangle is inscribed in ...

An equilateral triangle is inscribed in the parabola `y^(2)=4ax`,
such that one vertex of this coincides with the vertex of the parabola. Then find the side the length of this triangle.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. Find the locus of the midpoints of the portion of the normal to the pa...

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  3. An equilateral triangle is inscribed in the parabola y^(2)=4ax, such...

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  7. A right-angled triangle A B C is inscribed in parabola y^2=4x , where ...

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

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

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  11. Find the value of p such that vertex of y=x^(2)+2px+13 is 4 units abov...

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  13. Find the point where the line x+y=6 is a normal to the parabola y^2=8x...

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  14. Find the equation of the tangent to the parabola 9x^(2)+12x+18y-14=0 w...

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

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

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

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