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JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

If the algebraic sum of the distances of the points , and from a straight line be equal to zero then the straight line must pass through

Answer: (C)

Solution

Let the line be . The signed distance of is . The sum is zero iff

a + b + 3c = 0 a·\

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Question ID VK-110050