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QJEEM24Ma2b0e: JEE Main 2024 Mathematics - Class 12 JEEM24Ma2b0e Solution: The square of the distance of the image of the point ( 6 , 1 ,…

The square of the distance of the image of the point (6,1,5) in the line x−13=y2=z−24, from the origin is __________.

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JEE Main 2024 (Online) 9th April Evening Shift Mathematics - 3D Geometry Question 35 English Explanation

PA→=(3λ−5)i^+(2λ−1)j^+(4λ−3)k^(3λ−5)3+(2λ−1)2+(4λ−3)4=0⇒9λ−15+4λ−2+16λ−12=0⇒29λ=29∴λ=1∴A(4,2,6)∴P′: mirror image of P⇒P′(2,3,7)(OP′)2=4+9+49=62

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