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31 Jul 2011, 21:55
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A given line L has an equation 3x+4y=5. Which of the following is the equation of line
which doesnot intersect the above line?
1) 4x+3y=5
2) 3x+4y=10
3) 3x+5y=5
4) 3x+5y=3
5) 3x-4y=5
Can anyone pls help me understand a simplest way to solve such questions..
I will share the answer after few explanations..
which doesnot intersect the above line?
1) 4x+3y=5
2) 3x+4y=10
3) 3x+5y=5
4) 3x+5y=3
5) 3x-4y=5
Can anyone pls help me understand a simplest way to solve such questions..
I will share the answer after few explanations..
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01 Aug 2011, 11:55
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hello
i haven't start geometry yet but i can guess that it is 2. 3x+4y=10
my point of view is
3x+4y=5 so y=-3/4 x + 5/4
and 3x+4y=10 so y=-3/4 x + 10/4
they have the same Tendency so they have to be parallel
(if two lines have the same Tendency the have to parallel )
p.s I'm not sure if my solving is right
regards
i haven't start geometry yet but i can guess that it is 2. 3x+4y=10
my point of view is
3x+4y=5 so y=-3/4 x + 5/4
and 3x+4y=10 so y=-3/4 x + 10/4
they have the same Tendency so they have to be parallel
(if two lines have the same Tendency the have to parallel )
p.s I'm not sure if my solving is right
regards
01 Aug 2011, 23:05
Kudos
Bookmarks
DeeptiM
The only way 2 lines lying on the xy axis will not intersect is if they are distinct parallel lines.
Say, the equation of 2 lines is:
ax + by + c = 0
mx + ny + p = 0
These two lines intersect in a single point if:
\(\frac{a}{m} \neq \frac{b}{n}\)
These two lines are distinct and parallel if:
\(\frac{a}{m} = \frac{b}{n} \neq \frac{c}{p}\)
They are the same line if:
\(\frac{a}{m} = \frac{b}{n} = \frac{c}{p}\)
Since you want to find parallel distinct lines i.e. no point of intersection, \(\frac{a}{m} = \frac{b}{n} \neq \frac{c}{p}\) should hold.
given: 3x+4y=5
parallel: 3x+4y=10
