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Line l is defined by the equation y – 5x = 4

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by gmatnmein2010 » Sat Feb 20, 2010 3:48 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.)


1)0


2)30


3)60


4)90


5)It cannot be determined from the information given.
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by ajith » Sat Feb 20, 2010 3:54 am
gmatnmein2010 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.)


1)0


2)30


3)60


4)90


5)It cannot be determined from the information given.
Slope of the line l = 5
slope of the line w = -1/5
Slope of the line k = 5

since slope of k* slope w = -1 they must intersect at right angle
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by shashank.ism » Sat Feb 20, 2010 8:59 am
gmatnmein2010 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.)
1)0
2)30
3)60
4)90
5)It cannot be determined from the information given.
slope of y - 5x = 4, m= 5
slope of 10y + 2x + 20 = 0 --> y=-1/5 x -2 , m' =-1/5
so two lines are perpendicular to each other....
now line k does not inersec l i.e. it is parallel to line l and hence perpendicular to line w....Ans4
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