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If the equation of the plane passing through the line of intersection of the planes 2x – y + z = 3, 4x – 3y + 5z + 9 = 0 and parallel to the line 5 2 z 4 3 y 2 1 x − = + = − + is ax + by + cz + 6 = 0, then a + b + c is equal to-

1. 12
2. 14
3. 15
4. 13

Correct answer: 14

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