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Question
The point on the curve y2 = x, where the tangent makes an angle of `pi/4` with x-axis is ______.
Options
`(1/2, 1/4)`
`(1/4, 1/2)`
(4, 2)
(1, 1)
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Solution
The point on the curve y2 = x, where the tangent makes an angle of `pi/4` with x-axis is `(1/4, 1/2)`.
Explanation:
`"dy"/"dx" = 1/(2y) = tan pi/4` = 1
⇒ y = `1/2`
⇒ x = `1/4`
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