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The locus of foot of perpendicular from ...

The locus of foot of perpendicular from the focus upon any tangent to the parabola `y^(2) = 4ax` is

A

directrix

B

Tangent

C

at vertex

D

x=a

Text Solution

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The correct Answer is:
B
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The locus of the foot of the perpendicular from the focus to the tangent of the parabola y^(2) =4ax is x=0 , the tangent at the vertex.

Show that the foot of the perpendicular from focus to the tangent of the parabola y^(2)=4ax lies on the tangent at vertex.

Knowledge Check

  • The foot of the perpendicular from the focus to an asymptote of the hyperbola x^(2) //a^(2) -y^(2) //b^(2) =1 is

    A
    `(ae,be) `
    B
    `( a//e,b//e) `
    C
    `(e//a.e//b) `
    D
    none
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    A
    `sqrt(OS.SP)`
    B
    OS.SP
    C
    OS+OP
    D
    none
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