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Maths-

General

Easy

Question

The equation of the tangents at the origin to the curve $y to the power of 2 end exponent equals x to the power of 2 end exponent left parenthesis 1 plus x right parenthesis$ are

$y = \pm x$
$x = \pm y$
$y = \pm 2 x$
None of these

The correct answer is: $y equals plus-or-minus x$

The equations of the tangents at the origin can be obtained by equating the lowest degree term to zero. So, the required tangents given by
$y to the power of 2 end exponent minus x to the power of 2 end exponent equals 0 rightwards double arrow y equals plus-or-minus x$

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