Let the lines L_ 1 : r = ( i + 2 j + 3 k ), ℝ and L_ 2 : r = ( i + 3 j + k ) + ( i + j + 5 k ), ℝ intersect...

Question

Let the lines L_ 1 : r = ( i + 2 j + 3 k ), ℝ and L_ 2 : r = ( i + 3 j + k ) + ( i + j + 5 k ), ℝ intersect at the point S. If a plane ax + by − z + d = 0 passes through S and is parallel to both the lines L_ 1 and L_ 2 , then the value of a + b + d is equal to _____.

Accepted Answer

5

JEE Main 2022 Mathematics question

Solution

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