Let the algebric sum of the perpendicular distances from the points (2, 0), (0, 2), (1, 1) to a variable straight line be zero, then the line passes through a fixed point whose co-ordinates are
(I.I.T 1991)

(1, 1)

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(2, 2)

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(0, 0)

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none

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Solution

The correct option is A (1, 1)
Let the variable line be px + qy +1 = 0, then given condition
$p_{1} + p_{2} + p_{3} \Rightarrow$ 3p + 3q + 3 = 0 or p + q + 1 = 0
Condition (1) shows that the variable line passes through the point (1, 1).

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Let the algebric sum of the perpendicular distances from the points (2, 0), (0, 2), (1, 1) to a variable straight line be zero, then the line passes through a fixed point whose co-ordinates are (I.I.T 1991)

The correct option is A (1, 1)Let the variable line be px + qy +1 = 0, then given condition p1+p2+p3⇒ 3p + 3q + 3 = 0 or p + q + 1 = 0 Condition (1) shows that the variable line passes through the point (1, 1).

Let the algebric sum of the perpendicular distances from the points (2, 0), (0, 2), (1, 1) to a variable straight line be zero, then the line passes through a fixed point whose co-ordinates are
(I.I.T 1991)

The correct option is A (1, 1)
Let the variable line be px + qy +1 = 0, then given condition
$p_{1} + p_{2} + p_{3} \Rightarrow$ 3p + 3q + 3 = 0 or p + q + 1 = 0
Condition (1) shows that the variable line passes through the point (1, 1).