The tangent at the point (2,-2) to the curve, x2y2-2x=4(1-y) does not pass through the point

x2y2−2x=4−4yDifferentiate w.r.t. x2xy2+2y.x2.dydx−2=−4.dydx⇒                  dydx2y.x2+4=2−2x.y2⇒                       dydx2,−2=2−2×2×42−2×4+4=−14−12=76∴Equation of tangent is y+2=76x−2  ⇒  7x−6y=26(-2,-7) does not passes through the required tangent.