If the equation of the plane that contains the point (-2, 3, 5) and is perpendicular to each of the planes 2x + 4y + 5z =8 and 3x- 2y + 3z = 5 is 
then 
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Given
The equation of the plane that contains the point (-2,3,5) and is perpendicular to each of the planes 2x + 4y + 5z = 8 and 3x – 2y + 3z = 5 is
Now satisfying the point (- 2,3, 5) in plane P : 
+ 97 = 0 we get.
........(ii)
And using perpendicular condition 2x + 4y + 5z = 8 and 
we get.
......(ii)
Similarly. 
........(iii)
Now solving equation (i), (ii) & (iii) we get,
= 22, 
= 9& 
= -16
Hence, 
= 22 + 9-16=15
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