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The point on the curve y^(2)=x, the tang...

The point on the curve `y^(2)=x`, the tangent at which makes an angle `45^(@)` with the x- axis is-

A

`(0, 0)`

B

`((1)/(4), (1)/(2))`

C

`((1)/(2), (1)/(4))`

D

`(2, 4)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The equation of the normal to the parabola y^(2)=5x . Which makes an angle of 45^(@) with the x-axis is -

    A
    `x-y=15`
    B
    `2(x-y)=15`
    C
    `4(x-y)=15`
    D
    `8(x-y)=15`

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