Write the coordinates of the point on the curve y2 = x where the tangent line makes an angle with x-axis.

Q8 of 149 Page 16

Write the coordinates of the point on the curve y² = x where the tangent line makes an angle with x-axis.

Given that the curve y² = x has a point where the tangent line makes an angle with x-axis.

∴ Slope of the tangent

∵ the point lies on the curve.

y² = x

So,

Hence, the required point is

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