jee-main 2016 Q81

jee-main · India · 10apr Tangents, normals and gradients Normal or perpendicular line problems

Let C be a curve given by $y ( x ) = 1 + \sqrt { 4 x - 3 } , x > \frac { 3 } { 4 }$. If $P$ is a point on C , such that the tangent at $P$ has slope $\frac { 2 } { 3 }$, then a point through which the normal at $P$ passes, is :
(1) $( 1,7 )$
(2) $( 3 , - 4 )$
(3) $( 4 , - 3 )$
(4) $( 2,3 )$

Let C be a curve given by $y ( x ) = 1 + \sqrt { 4 x - 3 } , x > \frac { 3 } { 4 }$. If $P$ is a point on C , such that the tangent at $P$ has slope $\frac { 2 } { 3 }$, then a point through which the normal at $P$ passes, is :\\
(1) $( 1,7 )$\\
(2) $( 3 , - 4 )$\\
(3) $( 4 , - 3 )$\\
(4) $( 2,3 )$

Paper Questions

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