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The equation of the parabola with its ve...

The equation of the parabola with its vertex at the origin, axis on the `y` -axis and passing through (6,-3) is

A

`y^(2)=12 x+6`

B

`x^(2)=12 y`

C

`x^(2)=-12 y`

D

`y^(2)=-12 x+6`

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The correct Answer is:
C
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
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  2. An equation of the tangent to y^(2)=9 x which passes through (4,10) is

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  3. The equation of the parabola with its vertex at the origin, axis on th...

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  4. The equation of the parabola whose focus is (5,3) and the directrix 3 ...

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  5. The point of the parabola y^(2)=18 x for which the ordinate is three t...

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  6. The tangents drawn at the extremeties of a focal chord of the parabola...

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  7. For the parabola y^(2)=4x the point P whose focal distance is 17 is

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  8. The angle between the tangents drawn to the parabola y^(2)=12x from th...

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  9. The tangents drawn at the extremeties of a focal chord of the parabola...

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  10. The length of the latus rectum of 3x^(2)-4y+6x-3=0 is

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  11. The sum of the reciprocals of focal distances of a focal chord PQ of y...

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  12. The ends of the latus rectum of the parabola x^(2)+10x-16y+25=0 are

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  13. The length of the latus rectum of the parabola bx^(2)-4ay+dx+e=0

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  14. The directrix of the parabola x^(2)-4x-8y+12=0

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  15. If the normals at points ' t(1) " and ' t(2) ' to the parabola y^(2)=4...

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  16. The equation of a tangent to the parabola y^(2)=8x is y=x+2 the point...

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  17. If two tangents drawn from a point p to the parabola y^(2)=4x are at r...

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  18. The equation of the common tangent to the curves y^2=8x and xy =-1 is ...

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  19. The equation of the common tangents to the parabolas y=x^(2) and y=-(x...

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  20. Let a and b two distinct points on the parabola y^(2)=4x if the axis...

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