If $P$ be the point $(2, 6, 3)$ then the equation of the plane trough $P$ , at right angles to $O P$ , where $^{'} O^{'}$ is the origin is

2 x + 6 y + 3 z = 7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 x - 6 y + 3 z = 7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 x + 6 y - 3 z = 49

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 x + 6 y + 3 z = 49

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C $2 x + 6 y + 3 z = 49$
$P (2, 6, 3)$ , $- - \to O P = 2^i + 6^j + 3^k$ (direction of normal
$∴$ Equation of plane $\Rightarrow \to r . \to n = \to p . \to n \to r . (2^i + 6^j + 3^k) = 49$
$∴ 2 x + 6 y + 3 z = 49$ -Equation of Plane.

Suggest Corrections

Similar questions

2 x + 3 y + 4 z = 16

3 x + 2 y - 5 z = 8

5 x - 6 y + 3 z = 6

P_{1} : 2 x - 4 y + 6 z = 5 P_{2} : - x + 2 y - 3 z = 8 P_{3} : 3 x + 6 y + 3 z = 24.

2 x + 4 y + z = 0, x + 2 y - 2 z = 5, 3 z + 6 y + 7 z = 2

Total number of solutions to the system of linear equations 2x + 3y + z = 1, 4X + 6y + 2z = 3, 6x + 9y + 3z = 2 is ___

Join BYJU'S Learning Program