Question

# Which of the given equations will pass through the points (-2,2), (0,0) and (2,-2)?

A

y - x = 0

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B

-2x - y = 0

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C

x + y = 0

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D

2x - y = 0

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Solution

## The correct option is C x + y = 0 A point lies on a line if its coordinates satisfy the equation of the line. (A) 2x - y = 0 Substitute x = -2, y = 2 -4 - 2 = -2 ≠ 0 So, (-2, 2) does not lie on 2x - y = 0 (B) x + y = 0 Substitute x = -2, y = 2 -2 + 2 = 0 So, (-2, 2) lies on x + y = 0 Substitute x = 0, y = 0 0 + 0 = 0 So, (0, 0) lies on x + y = 0 Substitute x = 2, y = -2 2 - 2 = 0 So, (2, -2) lies on x + y = 0 (C) -2x - y = 0 Substitute x = -2, y = 2 4 - 2 = -2 ≠0 So, (-2, 2) does not lie on -2x - y = 0 (D) y - x = 0 Substitute x = -2, y = 2 2 + 2 = 4 ≠0 So, (-2, 2) does not lie on y - x = 0

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