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11 Dec 2018, 10:40
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
69% (01:56) correct
31%
(02:03)
wrong
based on 13
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Not Attempted Yet
In the given figure, the equation of line OB is y = 4x. Find the coordinates of B, if the coordinates of C is (5, 0).
(1) The slope of line BC is -\([fraction]1/4[/fraction\)]
(2) The lines OB and BC are perpendicular to each other.
(1) The slope of line BC is -\([fraction]1/4[/fraction\)]
(2) The lines OB and BC are perpendicular to each other.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
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11 Dec 2018, 19:27
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delta23
Responding to a PM...
If you look at the two statements, both give us the same information..
Slope of y=4x is 4 and the perpendicular line will have a slope of -\([fraction]1/4}\).
So both statements give us the slope to be -\(\frac{1}{4}\).
Thus, the answer is either D or E.
Let us check the information given...
I. The slope of BC is -\(\frac{1}{4}\)
The equation of the line can be written as y=mx+c.
Here m is the slope and equal to -\(\frac{1}{4}\)..
So line with a point (5,0) with slope -\(\frac{1}{4}\) will be
y=-\(\frac{1}{4}x+c\).....0=-\(\frac{1}{4}*5+c\)..
Therefore c=\(\frac{4}{5}\)..
The equation becomes y=-\(\frac{1}{4}x+5/4\)..
B is common to the two lines, therefore the coordinates of B will be the solution of two equations.
Substitute y=4x in above equation..
4x=-\(\frac{1}{4}x+5/4\)...
16x=-1x+5.....x=5/17 and y=4*5/17=20/17
Sufficient
Statement II..
The two lines are perpendicular
Slope of y=4x is 4 as m is 4 here.
Perpendicular line will have slope -1/m=-1/4..
Rest of the solution as above..
Sufficient
D
Hope it helps
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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