Let the equation of the plane passing through the line and parallel to the line be . Then the distance of the point from the plane is

9 Explanation: Solution 1. Plane ki equation (Family of Planes): Maan lijiye plane ki equation hai: Isse simplify karne par: 2. Line ke parallel vector nikalna: Line ke along vector: Direction ratios (DRs) hain: . 3. ki value nikalna: Kyonki plane line ke parallel hai, isliye normal aur line ke beech dot product zero hoga: 4. Required Plane aur ki values: ko equation mein rakhne par: Yahan se: . 5. Point ki plane se distance:

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let the equation of the plane passing through the line $x - 2y - z - 5 = 0 = x + y + z - 5$ and parallel to the line $x + y + 2z - 7 = 0 = 2x + 3y + z - 2$ be $ax + by + cz = 65$ . Then the distance of the point $(a, b, c)$ from the plane $2x + 2y - z + 16 = 0$ is

JEE 2023 — Mathematics PYQ

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