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The point on the parabola y^(2) = 8x at ...

The point on the parabola `y^(2) = 8x` at which the normal is inclined at `60^(@)` to the x-axis has the co-ordinates as (a) `(6,-4sqrt(3))` (b) `(6,4sqrt(3))` (c) `(-6,-4sqrt(3))` (d) `(-6,4sqrt(3))`

A

`(6,-4sqrt(3))`

B

`(6,4sqrt(3))`

C

`(-6,-4sqrt(3))`

D

`(-6,4sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
Slope of normal `= tan 60^(@) = sqrt(3)`
`:.` Point of normal is `(2(sqrt(3))^(2), -2(2)sqrt(3))` or `(6,-4sqrt(3))`
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