Start Free Mock LoginAlready registered? Login here

Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Easy2 minPYQ_2021

MathematicsEasysingle choice

If from a point $P (a, b, c)$ , perpendiculars $PA$ and $PB$ are drawn to $YZ$ and $ZX$ planes respectively, then the equation of the plane $OAB$ is

Options:

Answer:

Solution:

$A (o, b, c) B (a, o, c), O (o, o, o)$ Perpendicular vector is $OA \times OB$ $\hat{i} 0 a \hat{j} b 0 \hat{k} c c = b c \hat{i} + a c \hat{j} - ab \hat{k}$ $∴$ Equation of plane is $b c x + a cy - ab z = 0$

Stream:WBJEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Plane (Equations)

⏱ 2mℹ️ Source: PYQ_2021

Doubts & Discussion

Loading discussions...