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The equation of the common tangent to th...

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

A

`x+y-1=0`

B

`x+y+1=0`

C

`x-y-1=0`

D

none of these

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The correct Answer is:
B
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
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  6. The vertex of the parabola is (4,0) and the y -axis is the directrix. ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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