Question

The value of k, for which the line (x – 4)/1 = (y – 2)/1 = (z – k)/2 lies in the plane 2x – 4y + z = 7, is

(a) 7

(b) 6

(c) no real value

(d) –7

Answer 1

Answer is (a) 7

Since the line lies on the plane, so, the point (4, 2, k) lies on the plane.

Thus, 8 – 8 + k = 7 

k = 7.