jee-main 2019 Q80

jee-main · India · session1_12jan_shift2 Tangents, normals and gradients Find tangent line with a specified slope or from an external point

The tangent to the curve $y = x ^ { 2 } - 5 x + 5$, parallel to the line $2 y = 4 x + 1$, also passes through the point :
(1) $\left( \frac { 1 } { 4 } , \frac { 7 } { 2 } \right)$
(2) $\left( \frac { 7 } { 2 } , \frac { 1 } { 4 } \right)$
(3) $\left( - \frac { 1 } { 8 } , 7 \right)$
(4) $\left( \frac { 1 } { 8 } , - 7 \right)$

The tangent to the curve $y = x ^ { 2 } - 5 x + 5$, parallel to the line $2 y = 4 x + 1$, also passes through the point :\\
(1) $\left( \frac { 1 } { 4 } , \frac { 7 } { 2 } \right)$\\
(2) $\left( \frac { 7 } { 2 } , \frac { 1 } { 4 } \right)$\\
(3) $\left( - \frac { 1 } { 8 } , 7 \right)$\\
(4) $\left( \frac { 1 } { 8 } , - 7 \right)$

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