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The equation of the parabola with focus ...

The equation of the parabola with focus (0,0) and directrix `x+y=4` is

A

`x^(2)+y^(2)-2 x y+8 x+8 y-16=0`

B

`x^(2)+y^(2)-2 x y+8 x+8 y=0`

C

`x^(2)+y^(2)+8 x+8 y-16=0`

D

`x^(2)+y^(2)+8 x+8 y-16=0`

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
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  3. The equation of the parabola with focus (0,0) and directrix x+y=4 is

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  4. The parabola with the directrix x+2 y-1=0 and focus (1,0) is

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  5. The line among the following, that touches the parabola y^(2)=4 a x is

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  6. If a point P moves such that its distance from the point A(1,1) and th...

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  7. Let O be the origin and A be a point on the curve y^(2)=4 x. Then the ...

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  8. The length of latus rectum of the parabola y^(2)=4 a x whose focal cho...

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  9. The equation of a line drawn through the focus of the parabola y^(2)=-...

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  10. Let the directrix of a parabola y^(2)=2 a x is a tangent to a circle w...

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  11. The equation of the parabola which passes through the intersection of ...

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  12. y^(2)-2 x-2 y+5=0 is

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  13. The length of the latus rectum of the parabola x^(2)-4 x-8 y+12=0 is

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  14. An equation of the tangent to y^(2)=9 x which passes through (4,10) is

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

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

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

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

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

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