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Maths Straight Line Mix Single Correct MCQ
Published on: August 13, 2026

A variable line passes through a fixed point P . The algebraic sum of the perpendicular drawn from (2,0), (0, 2) and (1, 1) on the line is zero, then the coordinates of the P are

A
(1, –1)
B
(1, 1)
C
(2, 1)
D
(2, 2)

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Text Solution

Verified by Experts
The correct answer is:
B

Let then the equation of line passing through P and whose gradient is m , is

Now according to the condition

⇒ ⇒

Since it is a variable line, so hold for every value of m . Therefore .

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