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# Which of the following lines are perpendicular to the line x

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Founder
Joined: 18 Apr 2015
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Which of the following lines are perpendicular to the line x [#permalink]  18 Nov 2018, 10:36
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Question Stats:

10% (00:30) correct 90% (00:30) wrong based on 10 sessions

Which of the following lines are perpendicular to the line x=y in the xy-plane?

Indicate all such lines

A. x=0

B. y=-1

C. x+y=0

D. x+y=1

E. x-y=2
[Reveal] Spoiler: OA

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Director
Joined: 20 Apr 2016
Posts: 864
WE: Engineering (Energy and Utilities)
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Kudos [?]: 645 [2] , given: 142

Re: Which of the following lines are perpendicular to the line x [#permalink]  25 Nov 2018, 11:49
2
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Explanation:

When two lines are perpendicular, the slope of one is the negative reciprocal of the other.

The given equation:

x= y
or y = 1.x (where slope = 1)

The line to be perpendicular the slope needs to be negative reciprocal i.e. Slope(m) = $$\frac{1}{{-1}}$$.

option C can be written as :$$y = -x$$ or $$y = \frac{1}{{-1}} * x$$, where the slope is negative reciprocal

Option D can be written as : $$x + y = 1$$ or $$y = -x - 1$$or $$y = \frac{1}{{-1}} *x - 1$$, where the slope is negative reciprocal

Rest of the options don't satisfy the rule and hence are out.

Option C and Option D are the answers
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Intern
Joined: 22 Apr 2016
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Geometry [#permalink]  26 Mar 2019, 07:52
For the following question, select all the answer choices that apply.

Which of the following lines are perpendicular to the line y=x in the xy-plane?

Indicate all such lines.
A x=0

B y=-1

C x+y=0

D x+y=1

E x-y=2
Geometry   [#permalink] 26 Mar 2019, 07:52
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