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JEE Main202118 Mar 2021Evening ShiftMathematicsThree Dimensional GeometryActual

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 ___ .

Correct answer

0

Step-by-step solution

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

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