JEE Main202125 Jul 2021Evening ShiftMathematicsThree Dimensional GeometryActual

If the lines x - k 1 = y - 2 2 = z - 3 3 and x + 1 3 = y + 2 2 = z + 3 1 are co-planar, then the value of k is _______.

Correct answer

Step-by-step solution

Given, lines x - k 1 = y - 2 2 = z - 3 3 and x + 1 3 = y + 2 2 = z + 3 1 are co-planar. Therefore, k + 1 4 6 1 2 3 3 2 1 = 0 ⇒ k + 1 2 - 6 - 4 1 - 9 + 6 2 - 6 = 0 ⇒ k = 1 .

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