List of top Mathematics Questions on Coplanarity of Two Lines asked in BITSAT

Two lines:
L₁: \(x = 5, \; \frac{y}{3 - \alpha} = \frac{z}{-2}\)

L₂: \(x = \alpha, \; \frac{y}{-1} = \frac{z}{2 - \alpha}\)

are coplanar. Then \(\alpha\) can take value(s):

Two lines \(L_1:\;x=5,\; \dfrac{y}{3-\alpha}=\dfrac{z}{-2}\) \(L_2:\;x=\alpha,\; \dfrac{y}{1}=\dfrac{z}{2-\alpha}\) are coplanar. Then \(\alpha\) can take value(s)
If vectors \( 2i + j + k \), \( 2j - 3k \), and \( 3i + j + 5k \) are coplanar, then the value of \( a \) is