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Question: Answered & Verified by Expert
If the algebraic sum of the distances from the points $(2,0),(0,2)$ and $(1,1)$ to a variable straight line be zero, then the line passes through the fixed point
MathematicsStraight LinesWBJEEWBJEE 2022
Options:
  • A $(-1,1)$
  • B $(1,-1)$
  • C $(-1,-1)$
  • D $(1,1)$
Solution:
2072 Upvotes Verified Answer
The correct answer is: $(1,1)$
$\left(\frac{2+0+1}{3}, \frac{0+2+1}{3}\right)$ i.e. $(1,1)$.

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