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3d Geometry

JEE Main 2022 (Online) 28th June Evening Shift

MCQ+4 / -12022

Let the plane ax + by + cz = d pass through (2, 3, \(-\)5) and is perpendicular to the planes
2x + y \(-\) 5z = 10 and 3x + 5y \(-\) 7z = 12. If a, b, c, d are integers d > 0 and gcd (|a|, |b|, |c|, d) = 1, then the value of a + 7b + c + 20d is equal to :

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