|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
02 May 2020, 06:00
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
63% (02:16) correct
37%
(01:54)
wrong
based on 107
sessions
History
Date
Time
Result
Not Attempted Yet
What are the coordinates of the foot of the perpendicular from the point (2,2) to the line y - 2x - 8 =0?
A. (4,-2)
B. (-4,2)
C. (2,4)
D. (2,-4)
E. (-2,4)
A. (4,-2)
B. (-4,2)
C. (2,4)
D. (2,-4)
E. (-2,4)
02 May 2020, 07:31
Kudos
Bookmarks
y-2x-8=0
y=2x+8
Slope of this line= 2
Line containing point (2,2) is perpendicular to this line. So product of slopes of both these lines will be -1.
Slope of line perpendicular to y-2x-8=0 is -1/2
Point (2,2) lies on this perpendicular line.
So equation of new line,
y-2=(-1/2)(x-2)
2y-4=-x+2
2y=-x+6
Only (-2,4) satisfies this equation.
Answer E
Posted from my mobile device
y=2x+8
Slope of this line= 2
Line containing point (2,2) is perpendicular to this line. So product of slopes of both these lines will be -1.
Slope of line perpendicular to y-2x-8=0 is -1/2
Point (2,2) lies on this perpendicular line.
So equation of new line,
y-2=(-1/2)(x-2)
2y-4=-x+2
2y=-x+6
Only (-2,4) satisfies this equation.
Answer E
Posted from my mobile device
02 May 2020, 11:23
Kudos
Bookmarks
y-2x-8=0
y =2x+8 (Slope intercept form)
The slope of this line= 2
The foot of the perpendicular and the point (2,2) will make a line perpendicular to the given line.
Hence the slope shall be -1/2 ( the product of slope of perpendicular lines = -1)
A. (4,-2) & (2,2): Slope = (2+2)/(2-4)= -2
B. (-4,2) & (2,2): Slope = (2-2)/(2+4) =0
C. (2,4) & (2,2): Slope = =(2-4)/(2-2) = Not defined
D. (2,-4) & (2,2): Slope = (2+4)/(2-2) = Not defined
E. (-2,4) & (2,2): Slope = (2-4)/(2+2)= -1/2
Hence E is the right answer
y =2x+8 (Slope intercept form)
The slope of this line= 2
The foot of the perpendicular and the point (2,2) will make a line perpendicular to the given line.
Hence the slope shall be -1/2 ( the product of slope of perpendicular lines = -1)
A. (4,-2) & (2,2): Slope = (2+2)/(2-4)= -2
B. (-4,2) & (2,2): Slope = (2-2)/(2+4) =0
C. (2,4) & (2,2): Slope = =(2-4)/(2-2) = Not defined
D. (2,-4) & (2,2): Slope = (2+4)/(2-2) = Not defined
E. (-2,4) & (2,2): Slope = (2-4)/(2+2)= -1/2
Hence E is the right answer
- when x coordinate is same for two points, the line is Vertical and the slope is NOT defined
- when y coordinate is same for two points, the line is horizontal and slope = 0
Evo23
