If for some, α ∈ R , the lines L 1 : x + 1 2 = y - 2 - 1 = z - 1 1 and L 2 : x + 2 α = y + 1 5 - α = z + 1 1 are coplanar, then the line L 2 passes through the point :

Question

If for some, α ∈ R , the lines L 1 : x + 1 2 = y - 2 - 1 = z - 1 1 and L 2 : x + 2 α = y + 1 5 - α = z + 1 1 are coplanar, then the line L 2 passes through the point :, ( 10 , 2 , 2 ), ( 2 , – 10 , – 2 ), ( 10 , – 2 , – 2 ), ( – 2 , 10 , 2 )

MARKS App · Accepted Answer

Lines are coplanar so α 5 - α 1 2 - 1 1 + 1 + 3 2 = 0 ⇒ - 5 α + ( α - 5 ) 3 + 7 = 0 ⇒ - 2 α = 8 ⇒ α = - 4 ⇒ L 2 : x + 2 - 4 = y + 1 9 = z + 1 1 Now by cross checking option (1) is correct.

Search any question & find its solution

Looking for more such questions to practice?