The plane 2x - y + z = 4 intersects the line segment joining the… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 29 January, Shift 2Equation of Plane

The plane $2x - y + z = 4$ intersects the line segment joining the points $A(a, -2, 4)$ and $B(2, b, -3)$ at the point $C$ in the ratio $2:1$ , and the distance of $C$ from the origin is $\sqrt{5}$ . If $ab < 0$ , and $P$ is the point $(a - b, b, 2b - a)$ , then $CP^2$ is equal to:

A
$\frac{17}{3}$
B
$\frac{16}{3}$
C
$\frac{73}{3}$
D
$\frac{97}{3}$

Answer & step-by-step solution

Practice more Equation of Plane questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Equation of Plane

Answer & step-by-step solution

Practice more Equation of Plane questions

Related questions