jee-main 2022 Q74

jee-main · India · session1_25jun_shift2 Tangents, normals and gradients Find tangent line with a specified slope or from an external point

If the line $y = 4 + kx$, $k > 0$, is the tangent to the parabola $y = x - x^2$ at the point $P$ and $V$ is the vertex of the parabola, then the slope of the line through $P$ and $V$ is
(1) $\frac{3}{2}$
(2) $\frac{26}{9}$
(3) $\frac{5}{2}$
(4) $\frac{23}{6}$

If the line $y = 4 + kx$, $k > 0$, is the tangent to the parabola $y = x - x^2$ at the point $P$ and $V$ is the vertex of the parabola, then the slope of the line through $P$ and $V$ is\\
(1) $\frac{3}{2}$\\
(2) $\frac{26}{9}$\\
(3) $\frac{5}{2}$\\
(4) $\frac{23}{6}$

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