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Coordinate plane

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Coordinate plane

by gmatblood » Sat Nov 05, 2011 9:37 am
Line l is defined by the equation y - 5x = 4 and line w is defined by the equation 10y + 2x + 20 = 0. If line k does not intersect line l, what is the degree measure of the angle formed by line k and line w? (Assume that all lines lie in one coordinate plane.)

0


30


60


90


It cannot be determined from the information given.
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by yasha_gmat » Sat Nov 05, 2011 9:59 am
IMO D i.e 90

Line l and w are perpendicular.
And its given that line k does not intersect with line l.
So line k is also perpendicular to line w.

OA Please?
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by rijul007 » Sat Nov 05, 2011 10:17 am
Line l
y - 5x = 4
Slope = m1 = -1/-5 = 1/5

Line w
10y + 2x + 20 = 0
slope = m2 = -10/2 = -5

m1*m2 = -1
The two lines are Perpendicular


Line k does not intersect line l
line k is parellel to line l
hence, it too is perpendicular to line w.

Option D
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by gmatblood » Sat Nov 05, 2011 2:35 pm
Thanks a lot!!

m1*m2 = -1
The two lines are Perpendicular

Where can i find more such rules!! :)
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by satishchandra » Sun Nov 06, 2011 1:30 am
gmatblood wrote: Where can i find more such rules!! :)
Refer the link below for many formulae
https://www.mathisfunforum.com/viewtopic.php?id=3301
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by vaibhavgupta » Sun Nov 06, 2011 4:31 am
gmatblood wrote:Line l is defined by the equation y - 5x = 4 and line w is defined by the equation 10y + 2x + 20 = 0. If line k does not intersect line l, what is the degree measure of the angle formed by line k and line w? (Assume that all lines lie in one coordinate plane.)

0


30


60


90


It cannot be determined from the information given.
Slope of line l and Line w are multiplied to reach -1

Hence D it is!
If OA is A, IMO B
If OA is B, IMO C
If OA is C, IMO D
If OA is D, IMO E
If OA is E, IMO A

FML!! :/
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