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The co - ordinates of a point on the par...

The co - ordinates of a point on the parabola `y^(2) =8x` whose focal distance is 4 are :

A

`((1)/(2),pm 2)`

B

`(1, pm 2 sqrt(2))`

C

(2,±4)

D

`(3, pm 2 sqrt(6))`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
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  2. The directrix of the parabola y^(2)=16 x is

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  3. The co - ordinates of a point on the parabola y^(2) =8x whose focal d...

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  4. If x=m y+c is a normal to the parabola x^(2)=4 a y, then the value of ...

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  5. Angle substended by the latus rectum at the origin is

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  6. Locus of the point of intersection of normals to the parabola y^(2)=4 ...

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  7. The tangent to a parabola at the vertex A and any point P meet at Q ...

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  8. An equilateral triangle is inscribed in the parabola y^(2)=4ax, where ...

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  9. If 2 x+y+lambda=0 is a normal to the parabola y^(2)=8 x, then lambda=

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  10. Two ends of the latus rectum of a parabola are (4,6) and (-2,6), then ...

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  11. In each of the following find the coordinates of the focus , axis of t...

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  12. The line 2 x-3 y+5=0 is a tangent to the parabola y^(2)=4 a x, then a=

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  13. If t is a parameter of one end of a focal chord of the parabola y^(2) ...

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  14. The line y=m x+2 is a tangent to the parabola y^(2)=4 x, then m=

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  15. The condition for the line L x+m y+n=0 to be a tangent for x^(2)=y is

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  16. The distance of the P on the parabola y^(2)=4 x from the focus is 26. ...

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  17. Vertex of the parabola y^(2)+2 y+x=0 lies in the quadrant,

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  18. The equation of the tangent to the parabola y=x^(2)-x at the point x=1...

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  19. The vertex of a parabola is at the origin and the directrix is x+5=0 ....

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  20. The point of intersection of the latus rectum and the axis of the para...

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