# The equation of t

Given the equation of the curve is

y (1 + x2) = 2 – x

Differentiating on both sides with respect to x, we get Applying the power rule we get We know derivative of a constant is 0, so above equation becomes Applying the power rule we get   As the given curve passes through the x-axis, i.e., y=0,

So the equation on given curve becomes,

y(1+x2)=2-x

0(1+x2)=2-x

0=2-x

x=2

So the given curve passes through the point (2,0)

So the equation (i) at point (2,0) is,    Hence, the slope of tangent to the curve is Therefore, the equation of tangent of the curve passing through (2,0) is given by 5y=-x+2

x+5y=2

So the equation of tangent to the curve y (1 + x2) = 2 – x, where it crosses x-axis is x+5y=2.

Therefore the correct option is option A.

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