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3D Geometry question

2022 · 27 Jul · Shift 2 · Q32
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  5. /2022 · 27 Jul · Shift 2 · Q32

3D Geometry question

2022 · 27 Jul · Shift 2 · Q32

JEE MainMathematics3D GeometryMCQ+4 / −1
If the length of the perpendicular drawn from the point P(a,4,2)P(a, 4,2)P(a,4,2), a >0\gt 0>0 on the line x+12=y−33=z−1−1\frac{x+1}{2}=\frac{y-3}{3}=\frac{z-1}{-1}2x+1​=3y−3​=−1z−1​ is 262 \sqrt{6}26​ units and Q(α1,α2,α3)Q\left(\alpha_{1}, \alpha_{2}, \alpha_{3}\right)Q(α1​,α2​,α3​) is the image of the point P in this line, then a+∑i=13αi\mathrm{a}+\sum\limits_{i=1}^{3} \alpha_{i}a+i=1∑3​αi​ is equal to :
  1. A
    7
  2. B
    8
  3. C
    12
  4. D
    14
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