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If lambda(1) lt lambda(2) are two values...

If `lambda_(1) lt lambda_(2)` are two values of `lambda` such that the angle between the planes `P_(1):vec r*(3hat i-5hat j+hat k)=7` and `P_(2):vec r*(lambdahat i+hat j-3hat k)=9` is `sin^(-1)((2sqrt(6))/(5))`,then the square of the length of perpendicular from the point `(38 lambda_(1),10 lambda_(2),2)` to the plane `P_(1)` is

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
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