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$The equations of the tangents at the origin to the curve y^{2} = x^{2} (1 + x + x^{2}) is$

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x=±y

2x=±y

3x=±y

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Correct option is A

Given curve is y2=x21+x+x2 ⇒y=±x2+x3+x4 ⇒dydx=±2x+3x2+4x32x2+x3+x4=±2+3x+4x221+x+x2 at 0,0 ,m=±1 equation of tangent at 0,0 is y=±x

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The equations of the tangents at the origin to the curve y2=x21+x+x2 is

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$The equations of the tangents at the origin to the curve y^{2} = x^{2} (1 + x + x^{2}) is$