Q.
The equations of the tangents at the origin to the curve y2=x21+x+x2 is
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a
x=±y
b
2x=±y
c
3x=±y
d
2y=±x
answer is A.
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Detailed Solution
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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