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Find the locus of the points of trisecti...

Find the locus of the points of trisection of a double ordinate of the parabola `y^2=4ax`.

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Obtain the equation of straight lines : Passing through origin and the points of trisection of the portion of the line 3x + y - 12 = 0 intercepted between the coordinate axes.

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MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
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  2. Prove that the equation of the parabola whose vertex and focus are at ...

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  3. Find the locus of the points of trisection of a double ordinate of the...

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  4. Prove that a double ordinate of the parabola y^2=4ax of length 8a subt...

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  5. Find the angle which a double ordinate of length 2a subtends at its ve...

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  6. Obtain the equations of the tangent and normal of the parabola y^2=4ax...

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  7. Find the equation of tangents and normals to the parabola y^2=4ax at t...

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  8. Find the equtions of tangent and normals to the parabola y^2=4ax at th...

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  9. Show that the tangent to the parabola y^2=4ax at the point (a' , b') i...

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  10. A tangent to the parabola y^2=8x makes an angle 45^@ with the line 3x-...

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  11. Prove that for all values of k the line y=k(x+a)+a/k is a tangent to t...

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  12. obtain the condition that the line lx+my+n=0 will touch the parabola y...

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  13. Prove that the line 4x-2y-1=0 touches the parabola whose focus it at (...

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  15. A point in a plane is such that the sum of its distances from the poin...

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  17. Find the equation of the ellipse which has its centre at (-1,4)b eccen...

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  18. Find the equation of tangent and normal to the ellipse x^2/16+y^2/9=1 ...

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