jee-main 2017 Q81

jee-main · India · 08apr Tangents, normals and gradients Geometric properties of tangent lines (intersections, lengths, areas)

The tangent at the point $( 2 , - 2 )$ to the curve, $x ^ { 2 } y ^ { 2 } - 2 x = 4 ( 1 - y )$ does not pass through the point:
(1) $( - 2 , - 7 )$
(2) $( 8,5 )$
(3) $( - 4 , - 9 )$
(4) $\left( 4 , \frac { 1 } { 3 } \right)$

The tangent at the point $( 2 , - 2 )$ to the curve, $x ^ { 2 } y ^ { 2 } - 2 x = 4 ( 1 - y )$ does not pass through the point:\\
(1) $( - 2 , - 7 )$\\
(2) $( 8,5 )$\\
(3) $( - 4 , - 9 )$\\
(4) $\left( 4 , \frac { 1 } { 3 } \right)$

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