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If `y_1, y_2, y_3` be the ordinates of a vertices of the triangle inscribed in a parabola `y^2=4a x ,` then show that the area of the triangle is `1/(8a)|(y_1-y_2)(y_2-y_3)(y_3-y_1)|dot`

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RD SHARMA ENGLISH-PARABOLA-All Questions
  1. If the points (0,4)a n d(0,2) are respectively the vertex and focus of...

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  2. PQ is a double ordinate of a parabola y^2=4a xdot Find the locus of it...

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  3. If y1, y2, y3 be the ordinates of a vertices of the triangle inscr...

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  4. If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=...

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  5. Find the equation of the parabola whose latus-rectum is 4u n i t s , a...

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  6. If the line y=m x+1 is tangent to the parabola y^2=4x , then find the ...

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  7. Find the vertex, focus, directrix, axis and latus-rectum of the par...

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  8. Find the vertex, axis, focus, directrix, latus-rectum of the followi...

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  9. Find the equation of the parabola whose focus is (1,-1) and whose vert...

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  10. Find the equation of the parabola with vertex (2,-3)a n dfoc u s(0,5)d...

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  11. Find the equation of the parabola whose focus is (-3,2) and the direct...

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  12. Find the equation of the lines joining the vertex of the parabola y...

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  13. For the following parabola find the coordinates of the foci, the equ...

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  14. Find the equation of the parabola whose focus is the point (0,0) an...

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  15. Find the area of the triangle formed by the lines joining the vertex...

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  16. Find the coordinates of points on the parabola y^2=8x whose focal dist...

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  17. Find the length of the line segment joining the vertex of the parab...

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  18. Find the equation of the parabola whose focus is(1,1) and equation of ...

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  19. Find the equation of the parabola with vertex is at (2,1) and the dire...

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  20. The focal distance of a point on the parabola y^2=12 x is 4.Find the ...

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