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 If(0, 6) and (0,3) are respectively the vertex & focus of a parabola then its equation is

A

`x^(2)+12 y=72`

B

`x^(2)-12 y=72`

C

`y^(2)-12 x=72`

D

`y^(2)+12 x=72`

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The equation to the parabola whose focus is (1,-1) and the directrix i...

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

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  3. If(0, 6) and (0,3) are respectively the vertex & focus of a parabola t...

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  4. The equation of the line which is tangent to both the circle x^(2)+y^(...

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  5. The equation of the line which is a tangent to both the circle x^(2)+y...

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

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  7. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

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  8. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

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  9. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2 then the...

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  10. The normal at the point (bt(1)^(2), 2bt(1)) on a parabola meets the pa...

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  11. A point an the parabola y^(2)=18x at which the ordinate increases at t...

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  12. If a ne 0 and the line 2bx+3cy+4d=0 passes through the points of inter...

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  13. Let p be the point (1,0) and Q a point on the locurs y^(2)=8x the locu...

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  14. The locus of the vertices of the family of parabolas y=(a^(3)x^(2))/(3...

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  15. The slopes of the normal to the parabola y^(2)=4ax intersecting at ...

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  16. If the line x -1=0 is the directrix of the parabola y^(2)-kx+8=0 then...

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  17. Equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 ...

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  18. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

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  19. The locus of the mid point of the line segment joining the focus to a...

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  20. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2 then the...

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