MHT CET 2018 Math Solved Paper

(a) Points on the given lines are respectively (1, - 1, 1) and (3, k, 0) and their direction ratios are respectively 2, 3,4 and 1, 2,1
Since lines intersect, then lines are coplanar
|

x2−x1	y2−y1	z2−z1
a1	b1	c1
a2	b2	c2

| = 0
∴ |

2	k+1	−1
2	3	4
1	2	1

| = 0
∴ 2(-5) - (k+ 1)(-2 ) - 1(1) = 0
-11 + 2k + 2 = 0
k =

9

2