jee-main 2023 Q79

jee-main · India · session2_10apr_shift1 Vectors 3D & Lines Line-Plane Intersection

Let $P$ be the point of intersection of the line $\frac{x+3}{3} = \frac{y+2}{1} = \frac{1-z}{2}$ and the plane $x + y + z = 2$. If the distance of the point $P$ from the plane $3x - 4y + 12z = 32$ is $q$, then $q$ and $2q$ are the roots of the equation
(1) $x^2 - 18x - 72 = 0$
(2) $x^2 - 18x + 72 = 0$
(3) $x^2 + 18x + 72 = 0$
(4) $x^2 + 18x - 72 = 0$

Let $P$ be the point of intersection of the line $\frac{x+3}{3} = \frac{y+2}{1} = \frac{1-z}{2}$ and the plane $x + y + z = 2$. If the distance of the point $P$ from the plane $3x - 4y + 12z = 32$ is $q$, then $q$ and $2q$ are the roots of the equation\\
(1) $x^2 - 18x - 72 = 0$\\
(2) $x^2 - 18x + 72 = 0$\\
(3) $x^2 + 18x + 72 = 0$\\
(4) $x^2 + 18x - 72 = 0$

Paper Questions

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