The number of distinct real values of λ , for which the lines x - 1 1 = y - 2 2 = z + 3 λ 2 and x - 3 1 = y - 2 λ 2 = z - 1 2 , are coplanar is

Question

The number of distinct real values of &#955; , for which the lines x - 1 1 = y - 2 2 = z + 3 &#955; 2 and x - 3 1 = y - 2 &#955; 2 = z - 1 2 , are coplanar is

Aicharya · Accepted Answer

&#8757; Lines are coplanar &#8756; 3 - 1 2 - 2 1 - - 3 1 2 &#955; 2 1 &#955; 2 2 = 0 &#8658; 2 0 4 1 2 &#955; 2 1 &#955; 2 2 = 0 &#8658; 2 4 - &#955; 4 + 4 &#955; 2 - 2 = 0 &#8658; 4 - &#955; 4 + 2 &#955; 2 - 4 = 0 &#8658; &#955; 2 &#955; 2 - 2 = 0 &#8658; &#955; = 0 , &#160; 2 , &#160; - 2

The number of distinct real values of λ , for which the lines x - 1 1 = y - 2 2 = z + 3 λ 2 and x…

Solution

The number of distinct real values of &#955; , for which the lines x - 1 1 = y - 2 2 = z + 3 &#955; 2 and x…

Solution

The number of distinct real values of λ , for which the lines x - 1 1 = y - 2 2 = z + 3 λ 2 and x…