If equation of the plane that..... | JEE Main 2023 | Vector

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JEE MAIN 2023

11-04-2023 S1

Question

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 $3 x-2 y+3 z=5$ is $\alpha x+\beta y+\gamma z+97=0$ then $\alpha+\beta+\gamma=$

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