In the rectangular coordinate system, lines m and n intersect at the origin. Is line m perpendicular to line n?
(1) Line n passes through the point (-a, -a), where a ≠0, and line m has a slope of -1.
(2) The product of the slope of line m and the slope of line n is -1.
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neelgandham
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In the rectangular coordinate system, lines m and n intersect at the origin. Is line m perpendicular to line n?
Slope of line m = -1. The product of the slope of line m and the slope of line n is -1. So, line m and line n are perpendicular to each other.
Statement 1 is sufficient to answer the question.
IMO D
Line n passes through the points (-a,-a) and (0,0). So slope of Line n = (-a-0/(-a-0) = 1(1) Line n passes through the point (-a, -a), where a ≠0, and line m has a slope of -1.
Slope of line m = -1. The product of the slope of line m and the slope of line n is -1. So, line m and line n are perpendicular to each other.
Statement 1 is sufficient to answer the question.
Perfect! Statement 2 is sufficient to answer the question.(2) The product of the slope of line m and the slope of line n is -1.
IMO D
Anil Gandham
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