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Question

Mathematics Question on Angle between a Line and a Plane

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 x+12=y+34=z25\frac{x+1}{−2} =\frac{ y+3}{4}= \frac{z−2}{5} is ax by+cz+6=0. then a + b + c is equal to

A

12

B

13

C

14

D

15

Answer

14

Explanation

Solution

The correct option is(C): 14