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$If the reflection of the point P (1, 0, 0) in the line \frac{x - 1}{2} = \frac{y + 1}{- 3} = \frac{z + 10}{8} is (a, b, c) then$ $\frac{| a + b + c |}{7} =$

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Correct option is A

Let M be the midpoint of PQ and AM=r⇒M(1+2r,−1−3r,−10+8r)Since AM¯⊥PM ¯, we have AM¯.PM ¯=0⇒r=1⇒M(3,−4,−2)∴Q=(a,b,c)=2M−P=(5,−8,−4)∴|a+b+c|7=|5−8−4|7=77=1

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If the reflection of the point P(1,0,0) in the line x−12=y+1−3=z+108 is (a,b,c) then |a+b+c|7=

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$If the reflection of the point P (1, 0, 0) in the line \frac{x - 1}{2} = \frac{y + 1}{- 3} = \frac{z + 10}{8} is (a, b, c) then$ $\frac{| a + b + c |}{7} =$