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Find the angle which the straight line perpendicular to the straight

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Find the angle which the straight line perpendicular to the straight  [#permalink]

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New post Updated on: 03 Feb 2019, 06:21
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  65% (hard)

Question Stats:

50% (01:29) correct 50% (00:49) wrong based on 18 sessions

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Find the angle which the straight line perpendicular to the straight line \(\sqrt{3}x + y = 1\), makes with the positive direction of the x-axis.
A) \(30^0\)
B) \(60^0\)
C) \(90^0\)
D) \(120^0\)
E) \(150^0\)

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Originally posted by 4d on 01 Feb 2019, 21:44.
Last edited by chetan2u on 03 Feb 2019, 06:21, edited 1 time in total.
Corrected the OA
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Re: Find the angle which the straight line perpendicular to the straight  [#permalink]

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New post 03 Feb 2019, 03:38
4d wrote:
Find the angle which the straight line perpendicular to the straight line \(\sqrt{3}x + y = 1\), makes with the positive direction of the x-axis.
A) \(30^0\)
B) \(60^0\)
C) \(90^0\)
D) \(120^0\)
E) \(150^0\)


Put x=0, then y is 1and put y=0, then x=1/√3 ..
So it forms a right angled triangle with sides 1,1/√3 and 90° at origin..so sides are in ratio 1:√3:2, (1/√3):1:2/√3
Thus a 30-60-90 triangle...with 60° with x-axis in the triangle..

Now a perpendicular will make 60+90 or 150° with the negative direction of x-axis or left of the point where this line meets x-axis.
Therefore with positive direction it will be 180-150=30..

Neither is the OA correct nor is the question any close to an official question.
Please use genuine sources.
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


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Re: Find the angle which the straight line perpendicular to the straight  [#permalink]

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New post 03 Feb 2019, 05:58
OA is wrong.

Can this question be moderated?
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Re: Find the angle which the straight line perpendicular to the straight   [#permalink] 03 Feb 2019, 05:58
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Find the angle which the straight line perpendicular to the straight

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