JEE Main 2022 Mathematics question
Let the line (x − 3)/7 = (y − 2)/(−1) = (z − 3)/(−4) intersect the plane containing the lines (x − 4)/1 = (y + 1)/(−2) = z/1 and 4ax − y + 5z − 7a = 0 = 2x − 5y − z − 3, a R at the point , , ). Then the value of equals .
Answer: 12
Solution
The plane containing the line 4ax − y + 5z − 7a = 0 = 2x − 5y − z − 3 is , and it must contain the line (x − 4)/1 = (y + 1)/(−2) = z/1: through (4, −1, 0): , so $9a + 10λ +
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