# The tangent at the point (2, −2) to the curve, x2y2−2x=4(1−y) does not pass through the point :   Option: 1 (8,5) Option: 2 (4,1/3) Option: 3 (-2,-7) Option: 4 (-4,-9)

As learnt in concept ABCD

Differentiate both sides wrt.x.

at (2,-2)

Equation of tangent is

It doesn't pass through (-2,-7)

Concept ABCD

Slope of curve at a given point

To find slope, we differentiate with respect to x and find

Eg in

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