Let P be a plane lx + my + nz = 0 containing the line, (1 - x)/1 = (y + 4)/2 = (z + 2)/3.

Question

Let P be a plane lx + my + nz = 0 containing the line, \(\frac{1-x}{1}=\frac{y+4}{2}=\frac{z+2}{3}.\)If plane P divides the line segment AB joining points A(–3, –6, 1) and B(2, 4, –3) in ratio k : 1 then the value of k is equal to :

(1) 1.5

(2) 3

(3) 2

(4) 4

Answer 1

Correct answer is (3)

Point C is