question_answer

The equation of the plane passing through \[(1,2,3)\]and parallel to\[3x-2y+4z=5\]is

A)  \[3x-2y+4=11\]

B)  \[3x-2y+4z=0\]

C)  \[3x-2y+4z=10\]

D)  \[3(x-1)-2(y-2)+4(z-3)=5\]

E)  \[3(x-1)-2(y-2)+4(z-3)=11\]

Correct Answer: A

Solution :

The equation of plane passing through the point (1, 2, 3) and parallel tois                            ...(i) the plane (i) is passes through the point (1,2,3)           From Eq. (i), which is the required equation of plane.