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The focus of a parabola is (2,3) and the...

The focus of a parabola is (2,3) and the foot of the perpendicular from the focus to the directrix is (4,5) . The equation to the parabola is .

A

`(x-2)^(2)+(y-3)^(2)=(1//2)(x-y+9)^(2)`

B

`(x-2)^(2)+(y-3)^(2)=(1//2)(x+y+9)^(2)`

C

`(x-2)^(2)+(y-3)^(2)=(1//2)(x+y-9)^(2)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The vertex of a parabola is the point (a,b) and latusrectum is of leng...

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  2. The equation of the parabola having the vertex (-1,-2) and whose axis ...

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  3. The focus of a parabola is (2,3) and the foot of the perpendicular fro...

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  4. The vertex of the parabola y^(2)+4x-2y+3=0 is

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  5. The vertex of the parabola x^(2)+8x+12y+4=0 is

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  6. The vertex of the parabola x^(2)+12x-9y=0 is

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  7. A parabola has the origin as its focus and the line x=2 as the directr...

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  8. If the focus is (1,-1) and the directrix is the line x+2y-9=0, the ver...

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

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  10. The focus of the parabola y^(2)-x-2y+2=0 is

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  11. The focus of the parabola y^(2)-4y-8x-4=0 is

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  12. The focus of the parabola x^(2)-2x-8y-23=0 is

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  13. The distance between the vertex and the focus of the parabola x^(2)-2x...

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  14. The two ends of latusrectum of a parabola are the points (3,6) and (-5...

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  15. If (2,0) is the vertex and y-axis is the directrix of a parabola then ...

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  16. The length of the latus rectum of the parabola y^(2) +8x-2y+17=0 is

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  17. The length of the latus rectum of the parabola 4y^(2)+12x-20y+67=0 is

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  18. The length of the latus rectum of the parabola x^(2)-4x+8y+28=0 is

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  19. The length of the latus rectum of the parabola 3x^(2)-9x+5y-2=0 is

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  20. The point (3,4) is the focus and 2x-3y+5=0 is the directrix of a parab...

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