JEE Mains Model Paper 25

Equation of the plane containing the given lines is
|

x−1	y−2	z−3
2	3	4
3	4	5

| = 0
⇒ x - 2y + z = 0
Since this plane must be parallel to the plane
ax - 2y + z = d , we get a = 1
As distance between the planes is √6
we get

|d|

√1+4+1

√6 ⇒ |d| = 6