The point on the curve `y^2=x` where tangent makes `45o` angle with x-axis is `(1//2,\ 1//4)` (b) `(1//4,\ 1//2)` (c) `(4,\ 2)` (d) `(1,\ 1)`

Explanation

Given,`y^2=x`

Differentiatie both sides w.r.t. x

`2y(dy/dx)​=1`

`dy/dx​=1/(2y)`
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Also, tangent makes an angle of `π/4`​ with x axis
`dy/dx​=tan(π​/4)`
=1

∴`1/(2y)=1
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