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amanvermagmat
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What is the angle between the two lines L1 and L2, if both lines L1 18 May 2018, 11:21
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C
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Question Stats:

80% (00:52) correct 20% (00:58) wrong based on 122 sessions

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What is the angle between the two lines L1 and L2, if both lines L1 and L2 lie in the standard xy plane?

(1) Slope of line L1 is 4/3.

(2) Line L2 cuts x and y axis at 12 and 9 respectively.
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What is the angle between the two lines L1 and L2, if both lines L1 18 May 2018, 13:58
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What is the angle between the two lines L1 and L2, if both lines L1 and L2 lie in the standard xy plane?
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(1) Slope of line L1 is 4/3. - NS (we don't know about L2)
Slope of line L1 is 4/3, so the equation will be y=4/3x+b - where b doesn't matter, because if you change "b" the line will move up and down but will have the same slope (literally any line drawn will be parallel)

(2) Line L2 cuts x and y axis at 12 and 9 respectively.- NS (we don't know about L1)
We know 2 points (12;0) and (0;9), hence we know the slope.

(1)+(2) We have both slopes of 2 lines, so we can measure the angle. Answer (C)
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What is the angle between the two lines L1 and L2, if both lines L1 18 May 2018, 14:59
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amanvermagmat
What is the angle between the two lines L1 and L2, if both lines L1 and L2 lie in the standard xy plane?

(1) Slope of line L1 is 4/3. - NS (we don't know about L2)
Slope of line L1 is 4/3, so the equation will be y=4/3x+b - where b doesn't matter, because if you change "b" the line will move up and down but will have the same slope (literally any line drawn will be parallel)

(2) Line L2 cuts x and y axis at 12 and 9 respectively.- NS (we don't know about L1)
We know 2 points (12;0) and (0;9), hence we know the slope.

(1)+(2) We have both slopes of 2 lines, so we can measure the angle. Answer (C)
Show more

Hi Hero8888, I think we should still calculate the slope in Statement 2. What if slope of L2 were also 4/3? Then either L1 and L2 are parallel, or they're the same line. That would make the angle between the two lines undefined or 0 (I think)... so answer would be E. Thoughts?
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What is the angle between the two lines L1 and L2, if both lines L1 18 May 2018, 16:25
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Hi Hero8888, I think we should still calculate the slope in Statement 2. What if slope of L2 were also 4/3? Then either L1 and L2 are parallel, or they're the same line. That would make the angle between the two lines undefined or 0 (I think)... so answer would be E. Thoughts?
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In DS problems you don't have to find exact number. Even so, in your example parallel/the same means 180 - this is exact number. Rather you have to answer "do you have enough of information to answer". Please, re-check your approach to DS questions, it will be a good time saver for you on a real exam.
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What is the angle between the two lines L1 and L2, if both lines L1 19 May 2018, 10:05
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amanvermagmat
What is the angle between the two lines L1 and L2, if both lines L1 and L2 lie in the standard xy plane?

(1) Slope of line L1 is 4/3. - NS (we don't know about L2)
Slope of line L1 is 4/3, so the equation will be y=4/3x+b - where b doesn't matter, because if you change "b" the line will move up and down but will have the same slope (literally any line drawn will be parallel)

(2) Line L2 cuts x and y axis at 12 and 9 respectively.- NS (we don't know about L1)
We know 2 points (12;0) and (0;9), hence we know the slope.

(1)+(2) We have both slopes of 2 lines, so we can measure the angle. Answer (C)

Hi Hero8888, I think we should still calculate the slope in Statement 2. What if slope of L2 were also 4/3? Then either L1 and L2 are parallel, or they're the same line. That would make the angle between the two lines undefined or 0 (I think)... so answer would be E. Thoughts?
Show more

Hi Hero8888 when you say What if slope of L2 were also 4/3 you are inferring that information from stmt 1 while you are evaluating stmt 2. Which helps further the point that stmt 2 is insufficient in itself. We need to evaluate both the statements independently.

However when we combine both the information together, we know the slopes of the individual lines, and hence it is possible to calculate the angle between them (though it is not necessary to do the actual calculation to answer this particular DS question) The correct answer, therefore, is C.
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What is the angle between the two lines L1 and L2, if both lines L1 18 Oct 2022, 19:06
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