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Write the coordinates of the point on...

Write the coordinates of the point on the curve `y^2=x` where the tangent line makes an angle `pi/4` with x-axis.

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Let the point be `P(x_1​,y_1​)`,
The eqn of curve is `y^2=x `...(1)
`2y(dy)/(dx)​=1`
`(dy)/(dx)​_(x_1​y_1)​​=1/2y_1`​
Since tangent line makes angle `π/4`​ units x-axis
...
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