An equation of the plane containing the line − 3 x + 1 = 2 y − 3 = 1 z + 2 and the point ( 0 , 7 , − 7 ) is

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

Mathematics3D-Coordinate GeometryPlaneEasy2 min

MathematicsEasysingle choice

An equation of the plane containing the line $\frac{x + 1}{- 3} = \frac{y - 3}{2} = \frac{z + 2}{1}$ and the point $(0, 7, - 7)$ is

Answer:

Solution:

The equation of the plane is $A (x + 1) + B (y - 3) + C (z + 2) = 0$ ,

where $3 A + 2 B + C = 0$

and

$A + B (7 - 3) + C (- 7 + 2) = 0$ .

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

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