Let the plane P : r . a = d contain the line of intersection of two plane r.

Question

Let the plane P : \(\vec{r}\). \(\vec{a}\) = d contain the line of intersection of two plane \(\vec{r}\). \((\hat{i}+3\hat{j}-\hat{k})\) = 6 and \(\vec{r}\). \((-6\hat{i}+5\hat{j}-\hat{k})\) = 7. If the plane P passes through the point (2 , 3 , 1/2), then the value of \(\frac{|13\vec{a}|^2}{d^2}\) is equal to 

(A) 90 

(B) 93 

(C) 95 

(D) 97

Answer 1

Correct option is (B) 93 

Equation of plane passing through line of intersection of planes