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Find the point on the parabola y^(2) = ...

Find the point on the parabola `y^(2) = - 36 x ` at which the ordinate is three times the abscissa .

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The correct Answer is:
(-4,-12)
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CHHAYA PUBLICATION-PARABOLA-Very Short Answer Type Qusetions
  1. Find the length of the latus rectum of the parabola y =- 2x^(2) + 12 ...

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  2. Find the eqution of the parabola whose coordinates of vertex and focu...

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  3. The vertex of a parabola is at the origin and its focus is (0,-(5)/(4...

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  4. The parabola x^(2) +2py = 0 passes through the point (4,-2) , find ...

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  5. The parabola y^(2) = 2ax gose through the point of intersection of ...

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  6. A parabola having vertex at the origin and axis along x-axis passes ...

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  7. The axis of a parabola is along y-axis and vertex is (0,0) . If it p...

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  8. Find the equation of the parabola whose vertex is (0,0) and directrix ...

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  9. Find the equation of the parabola whose vertex is at the origin and di...

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  10. If the parabola y^(2) = 4 ax passes through the point of intersection...

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  11. The parabola y^(2) = 4ax passes through the centre of the circle 2x...

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  12. If the parabola y^(2) =4ax passes through the centre of the circle ...

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  13. Find the point on parabola y^(2) = - 20 x at which the ordinate is do...

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  14. Find the point on the parabola y^(2) = - 36 x at which the ordinate ...

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  15. Find the point on the parabola y^(2)=4ax(a gt 0) which forms a trian...

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  16. What type of conic is the locus of the moving point (at^(2),2at) ? ...

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  17. The focal distance of a point on the parabola y^(2) = 8x is 4, find ...

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  18. Find the focal distance of a point on the parabola y^(2)=20 x if the ...

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  19. Determine the positions of the points (a) (3,6) ,(b) (4,3) and (c) ...

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  20. For what values of a will the point (8, 4) be an inside point of the p...

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