Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

Mathematics3D-Coordinate GeometryPlaneMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

Consider a plane x + y – z = 1 and the point A(1, 2, –3).

A line L has the equation x = 1 + 3r, y = 2 – r & z = 3 + 4r

Equation of the plane containing the line L and the point A has the equation

Options:

Answer:

Solution:

Use a point on L, its direction, and the vector to A to find the plane normal. $R = (1, 2, 3), d = (3, - 1, 4), R A = (0, 0, - 6), n = d \times R A = (6, 18, 0) . 6 (x - 1) + 18 (y - 2) = 0, x + 3 y - 7 = 0. Option B.$

Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Plane

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...