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Lines- intersecting angles (m08q15)

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Re: Lines- intersecting angles (m08q15) [#permalink] New post 12 Jun 2012, 12:05
Given: y = Kx + L => Slope m1 = K
And y = x - KL => Slope m2 = 1
In order to find the angle between two lines, we must know the values of the two slopes m1 and m2.
Rephrase the question: What is K?
S1: K = 2 Sufficient
S2: K = L => What is L? Unknown => Not sufficient.

A is the correct answer.

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Re: Lines- intersecting angles (m08q15) [#permalink] New post 12 Jun 2012, 23:49
The question is asking about the angle of two intersecting lines. first we need to find out whether two lines are parallel. second we need to know the slopes of two lines to find the angle. The formula for angle between two lines is tan @ = m1-m2/1+m1m2.
Given
equation 1 Y= Kx + L and equation 2 Y= X-KL. form equation 2 slope m2 = 1.
statement 1 K =2. Slope of first equation is 2. m1<>m2. means lines are not parallel. Also we know m1 and m2 so angle can be calculated. suff.
statement 2 K=L slope m2 unknown .... not suff.
Answer A
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Re: Lines- intersecting angles (m08q15) [#permalink] New post 15 Feb 2013, 02:54
bunuel,
How do you calculate the angle between the 2 lines when you know their slopes ?
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Re: Lines- intersecting angles (m08q15)   [#permalink] 15 Feb 2013, 02:54
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