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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

none of these

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The correct Answer is:
C
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. If (x(1), y(1)) and (x(2), y(2)) are the ends of the focal chord of y^...

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  2. The point on the parabola y^(2)=8 x whose distance from the focus is 8...

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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. The number of tangents that can be drawn from (3,2) to the parabola y^...

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  5. The product of the abscissae of the extremities of a focal chord of a ...

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  6. The equation of the common tangent to the parabolas y^(2)=4 x and x^(2...

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  7. Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4 ...

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  8. The angle between the two tangents drawn from the point (1,4) to the p...

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  9. The vertex of the parabola is (4,0) and the y -axis is the directrix. ...

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  10. A tangent to the parabola y^(2)=a x makes an angle 45^(circ) with the ...

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  11. If y=m x+4 is a tangent to y^(2)=6 x, then m=

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  12. If y(1) and y(2) are the ordinates of two points P and Q on the parabo...

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  13. If (0,4) and (0,2) are respectively the vertex and focus of a parabola...

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  14. The distance between the directrix and latus rectum of a parabola is 4...

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  15. The directrix of the parabola y^(2)=16 x is

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

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

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

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

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

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