# If the equation of the plane passing through the line of intersection of the planes and the point is then the value of is ___________. Option: 1 4 Option: 2 8 Option: 3 12 Option: 4 16

Required plane is

$P_{1}+\lambda P _{2}=(2+3 \lambda) x -(7+5 \lambda) y+(4+4 \lambda) z -3+11 \lambda=0 ;$

which is satisfied by the point (-2,1,3).

Hence, $\lambda=\frac{1}{6}$

Thus, plane is $15 x -47 y +28 z -7=0$

So, $2 a+b+c-7=4$

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