JEE Main 2022 Mathematics question
The length of the perpendicular from the point (1, −2, 5) on the line passing through (1, 2, 4) and parallel to the line x + y − z = 0 = x − 2y + 3z − 5 is
Answer: (1)
Solution
The direction of the line x + y − z = 0 = x − 2y + 3z − 5 is (1, 1, −1) , −2, 3) = (1, −4, −3). The line through P(1, 2, 4) is (x − 1)/1 = (y − 2)/(−4) = (z − 4)/(−3). Let , , ) be the foot of the
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