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11 Dec 2018, 10:40
Kudos
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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
sessions
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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.
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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11 Dec 2018, 19:27
Kudos
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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.
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Thank you for understanding, and happy exploring!
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