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If the ordinate of a point on the parabo...

If the ordinate of a point on the parabola `y^(2)=4ax` is twice the latus rectum, prove that the abscissa of this point is twice the ordinate.

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ICSE-PARABOLA-EXERCISE 23
  1. The focus at (-2,-1) and the latus rectum joins the points (-2,2) and ...

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  2. Find the equation of a parabola whose vertex at (-2,3) and the focus a...

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  3. Find the equation of parabola if it's vertex is at (0,0) and the focu...

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  4. Find the equation of the parabola whose vertex is at (0,0) and the foc...

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  5. The axis parallel to the x-axis, and the parabola passes through (3,3)...

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  6. The axis parallel to the x-axis, and the parabola passes through the p...

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  7. The parabola y^2=4px passes thrugh the point (3,-2). Obtain the length...

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  8. Prove that the equation y^(2)+2ax+2by+c=0 represents a parabola whose ...

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  9. Of the parabola, 4(y-1)^(2)= -7(x-3) find The length of the latus re...

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  10. Of the parabola, 4(y-1)^(2)= -7(x-3) find The coordinates of the foc...

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  11. Find the vertex, focus, and directrix of the following parabolas: y^...

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  12. Find the vertex, focus, and directrix of the following parabolas: x^...

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  13. Find the vertex, focus and directix of the parabola (x-h)^(2)+4a(y-k)=...

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  14. Find the equatin to the parabola whose axis is parallel to the y-xis a...

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  15. Find the coordinates of the point on the parabola y^(2)=8x whose focal...

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  16. If the ordinate of a point on the parabola y^(2)=4ax is twice the latu...

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  17. Find the equation of the parabola whose focus is at the origin, and wh...

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  18. The directrix of a conic section is the straight line 3x-4y+5-0 and th...

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  19. Find the equation to the parabola whose focus is (-2,1) and directrix ...

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  20. The length of the latus rectum of the parabola whose focus is (3,3) an...

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