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If `(x_(1), y_(1))` and `(x_(2), y_(2))` are the ends of the focal chord of `y^(2)=4 a x` then `x_(1) x_(2)+y_(1) y_(2)=`

A

`-3 a^(2)`

B

`3 a^(2)`

C

`-4 a^(2)`

D

`4 a^(2)`

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A
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
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  2. If 2 x+y+a=0 is a focal chord of the parabola y^(2)+8 x=0 then a=

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  3. If (x(1), y(1)) and (x(2), y(2)) are the ends of the focal chord of y^...

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

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

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

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

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

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

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

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

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

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

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

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