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Equation of the parabola whose directrix...

Equation of the parabola whose directrix is `y =2x -9` and focus `(-8,-2),` is

A

`x ^(2) + 4y ^(2) + 4xy + 16x + 2y + 259 =0`

B

`x ^(2) + 4y ^(2) + 4xy + 11 6x + 2y + 259 =0`

C

`x ^(2) + y^(2) + 4xy + 116 x + 2y + 259 =0`

D

None of these

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-CIRCLE AND CONICS -CRITICAL THINKING
  1. Equation of the parabola, whose vertex is (-1,-2), axis is vertical an...

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  2. The equation of the parabola whose vertex is at(2, 1) and focus at(2, ...

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  3. Equation of the parabola whose directrix is y =2x -9 and focus (-8,-2)...

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  4. The equation of the parabola with focus (a, b) and directrix x/a+y/b=1...

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  5. Write the equation of the parabola with focus (0,0) and directrix x+y-...

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  6. The equation (13x -1)^(2) + (13y -1)^(2) =k (5x-12y+1)^(2) will repr...

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  7. vertex of the parabola 9x^2-6x + 36y + 9 = 0 is

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  8. The equation of parabola is y ^(2) + 8x -12 y+20=0, then which of the ...

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  9. If the vertex of the parabola y=x^(2)x+c lies on x-axis, then the valu...

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  10. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

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  11. The axis of the parabola 9y^2-16x-12y-57 = 0 is

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  12. The latus ractum of a parabola whose directrix is x+y -2=0 and focus i...

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  13. The equation of the latus rectum of a parabola is x+y=8 and the equati...

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  14. Prove that the equation y^2+2Ax+2By+c=0 is represent a parabola and wh...

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  15. The length of the latus rectum of the parabola whose focus is (u^2/2g ...

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  16. The co-ordinates of a point on 2y ^(2) =7x whose parameter is -2 are

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  17. x-2 = t^2, y = 2t are the parametric equations of the parabola-

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  18. The parametic representation (2+ t ^(2), 2t +1 ) represents

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  19. The equation of the ellipse whose centre is at origin and which passes...

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  20. The locus of a variable point whose distance from (-2,0) is 2/3 times ...

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