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QJEEM24Maf8de: JEE Main 2024 Mathematics - Class 12 JEEM24Maf8de Solution: If the mirror image of the point in the line is , then 14 is :

If the mirror image of the point P(3,4,9)P(3,4,9) in the line

x−13=y+12=z−21\frac{x-1}{3}=\frac{y+1}{2}=\frac{z-2}{1} is (α,β,γ)(\alpha, \beta, \gamma) , then 14 (α+β+γ)(\alpha+\beta+\gamma) is :

Multiple Choice Options

  • A 102
  • B 138
  • C 132
  • D 108

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JEE Main 2024 (Online) 1st February Evening Shift Mathematics - 3D Geometry Question 57 English Explanation

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Now, 14(α+β+γ)=14(62+4−127)=10814(\alpha+\beta+\gamma)=14\left(\frac{62+4-12}{7}\right)=108

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