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

Mathematics3D-Coordinate GeometryLine ( Equation etc.)Medium2 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

The co-ordinate of a point B of line L, such that AB is parallel to the plane, is

Options:

Answer:

Solution:

Choose B on the line and set the dot product of AB with the plane normal to zero. $B = (1 + 3 r, 2 - r, 3 + 4 r), A B = (3 r, - r, 6 + 4 r), n = (1, 1, - 1), A B \cdot n = - 2 r - 6 = 0, r = - 3, B = (- 8, 5, - 9) . Option D.$

Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Line ( Equation etc.)

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...