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The equation ...

Question

The equation of reflection of $y^{2} = x$ about $y -$ axis is

A

x + y^{2} = 0

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B

x^{2} - y = 0

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C

y^{2} - x = 0

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D

x^{2} + y = 0

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Solution

The correct option is A $x + y^{2} = 0$
For reflection about $y -$ axis, replace $x$ by $- x$
The curve $y^{2} = x$ becomes $y^{2} = - x$ (reflecion)
Hence, equation of reflection of the given curve is $y^{2} + x = 0$

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