Let P be a plane containing the line x - 1 3 = y + 6 4 = z + 5 2 and parallel to the line x - 3 4 = y - 2 - 3 = z + 5 7 . If the point ( 1 , - 1 , α ) lies on the plane P , then the value of 5 α is equal to ___ .

Question

Let P be a plane containing the line x - 1 3 = y + 6 4 = z + 5 2 and parallel to the line x - 3 4 = y - 2 - 3 = z + 5 7 . If the point ( 1 , - 1 , α ) lies on the plane P , then the value of 5 α is equal to ___ .,

MARKS App · Accepted Answer

Equation of plane is x - 1 y + 6 z + 5 3 4 2 4 - 3 7 = 0 Now ( 1 , - 1 , α ) lies on it so 0 5 α + 5 3 4 2 4 - 3 7 = 0 ⇒ 5 α + 38 = 0 ⇒ 5 α = 38

Search any question & find its solution

Looking for more such questions to practice?