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The axis of a parabola is along the line...

The axis of a parabola is along the line `y=x` and the distance of its vertex and focus from the origin are `sqrt(2)` and `2sqrt(2)` , respectively. If vertex and focus both lie in the first quadrant, then the equation of the parabola is `(x+y)^2=(x-y-2)` `(x-y)^2=(x+y-2)` `(x-y)^2=4(x+y-2)` `(x-y)^2=8(x+y-2)`

A

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

B

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

C

`(x-y)^(2)=4(x+y-2)`

D

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

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The correct Answer is:
D
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The axis of parabola is along the line y=x and the distance of its vertex and focus from origin are sqrt(2) and 2sqrt(2) respectively.If vertex and focus both lie in the first quadrant,then the equation of the parabola is:

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MOTION-PARABOLA-EXERCISE - IV
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  3. The axis of a parabola is along the line y=x and the distance of its v...

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  4. The equations of the common tangents to the parabola y = x^2 and y=-...

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  5. Match the following. Normals are drawn at points P Q and R lying on th...

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  7. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  10. The tangent and normal at P(t), for all real positive t, to the parabo...

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  11. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

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  12. Consider the parabola y^(2) = 8x. Let Delta(1) be the area of the tria...

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  13. Let (x, y) be any point on the parabola y^(2) = 4x. Let P be the point...

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  14. Let L be a normal to the parabola y^(2) = 4x. If L passes through the ...

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  15. Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the ...

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  16. Let PQ be a focal chord of the parabola y^(2) = 4ax. The tangents to t...

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  17. line L:y=mx+3 meets y–axis at E(0, 3) and the are of the parabola y^(2...

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  18. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

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  19. Let a, r, s, t be non-zero real numbers. Let P(at^2, 2at), Q, R(ar^2, ...

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  20. If st = 1, then the tangent at P and the normal at S to the parabola m...

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