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The slope of the normal to the parabola ...

The slope of the normal to the parabola `x^(2)= 4ay` at ` (2at, at^(2))` is -

A

`(1)/(t)`

B

t

C

`-t`

D

`-(1)/(t)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2), 2at) is -

    A
    `t`
    B
    `(1)/(t)`
    C
    `-t`
    D
    `-(1)/(t)`

  • The slope of the normal to the rectangular hyperbola xy=4 "at" (2t, (2)/(t)) is -

    A
    `-t^(2)`
    B
    `t^(2)`
    C
    `2t`
    D
    `-2t`

  • The equation of the normal to the parabola y^(2) =4ax at the point (at^(2), 2at) is-

    A
    ` tx+y=2at+at^(3)`
    B
    ` x+ty=2at+at^(3)`
    C
    `tx-y=at +2at^(3)`
    D
    `x-ty=at+2at^(3)`

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