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05 Jan 2022, 08:00
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B
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In the rectangular coordinate system, lines L1 and L2 intersect at point C. Are the lines L1 and L2 perpendicular to each other?
(1) The product of the slopes of lines L1 and L2 is at a distance of 1 unit from 0 on the number line.
(2) Lines x = 0 and y = 0 are the perpendicular bisectors of lines L1 and L2 respectively.
(1) The product of the slopes of lines L1 and L2 is at a distance of 1 unit from 0 on the number line.
(2) Lines x = 0 and y = 0 are the perpendicular bisectors of lines L1 and L2 respectively.
05 Jan 2022, 08:10
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Statement 1: In this scenario the slope can be either 1 or -1. In case it is -1 the lines would be perpendicular (Sufficient) and if the product is 1 then the lines won't be perpendicular (Not Sufficient)
Statement 2: Visualise this. If two lines that are perpendicular to each other (X and Y axis are perpendicular to each other and meet at origin) bisect the other two lines (L1,L2) perpendicularly then obviously line (L1,L2) would be perpendicular to each other.
Thus Statement 2 alone is sufficient.
IMO ANSWER IS B
Posted from my mobile device
Statement 2: Visualise this. If two lines that are perpendicular to each other (X and Y axis are perpendicular to each other and meet at origin) bisect the other two lines (L1,L2) perpendicularly then obviously line (L1,L2) would be perpendicular to each other.
Thus Statement 2 alone is sufficient.
IMO ANSWER IS B
Posted from my mobile device
03 Apr 2023, 06:14
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