Three Dimensional Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 11 Apr, Morning shift · Q2612

JEE Main 202311 Apr, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If equation of the plane that contains the point

(-2,3,5)

and is perpendicular to each of the planes

2 x+4 y+5 z=8

and

3 x-2 y+3 z=5

\alpha x+\beta y+\gamma z+97=0

then

\alpha+\beta+\gamma=

JEE Main 2023 · 11 Apr, Morning shift · Q2612

JEE Main 202311 Apr, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If equation of the plane that contains the point

(-2,3,5)

and is perpendicular to each of the planes

2 x+4 y+5 z=8

and

3 x-2 y+3 z=5

\alpha x+\beta y+\gamma z+97=0

then

\alpha+\beta+\gamma=

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