Q17 of 230 Page 30

If the lines and are coplanar, find the values of α.

We know that the lines are coplanar if

Here,

(α – 5)[(3 – α)(2 – α) – 2] = 0

(α – 5)(6 – 3α – 2α + α² – 2) = 0

(α – 1)(α – 4)(α – 5) = 0

α = 1, 4, 5

If the line lies in the plane lx + my – z = 9, then find the value of l² + m²?

Find the values of λ for which the lines and are coplanar.

If the straight lines and are coplanar, find the equations of the planes containing them.