The envelope of the family of tangents to the curve $y^{2} = x$ is

x + y^{2} = 0

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x^{2} = y

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x^{2} + y = 0

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y^{2} - x = 0

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Solution

The correct option is B $y^{2} - x = 0$
The envelope of family of tangent to curve $y^{2} = x$ is ,
which cover all tangent to $y^{2} = x$
So it is $y^{2} - x = 0$

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