JEE Main 2022 Mathematics question
Let P be the plane containing the straight line (x − 3)/9 = (y + 4)/(−1) = (z − 7)/(−5) and perpendicular of the plane containing the straight lines x/2 = y/3 = z/5 and x/3 = y/7 = z/8. If d is the distance of P from the point (2, −5, 11) then is equal to :
Answer: (3)
Solution
Let the plane be a(x − 3) + b(y + 4) + c(z − 7) = 0. It contains the direction (9, −1, −5), so 9a − b − 5c = 0. The plane containing the lines x/2 = y/3 = z/5 and x/3 = y/7 = z/8 has normal (2, 3, , 7, 8) = (−11, −1, 5), and P is
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