vicksikand wrote:
At what angle do lines y = Kx + B and y = Bx + K intersect ?
1. B + K = 1
2. BK = 0
(C) 2008 GMAT Club - m20#17
* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient
1: B + k = 1 N.S : 1/2,1/2, 0/1 etc.
2. BK = 0 N.S : 1/0, 0/1, etc.
Angle between two lines with slopes m1 and m2 is :
tan(q) = (m1-m2)/(1+m1.m2)
Now if m1m2 = 0 and m1+m2 = 0 this implies: 1,0 or 0,1
arctan(1) = 45 and arctan(-1)=-45. Eventhough relative angle between the lines will be 45. Probably the question can be rephrased as "angle between the lines"
Angle between two lines is
arctan(\frac{m_1-m_2}{1+m_1m_2})(1) Not sufficient
(2) All this says is that one of the lines is horizontal
(1+2) One of the lines is horizontal hence the other has a slope of 45 degrees. Sufficient to say angle is 45 degrees
Now wether it is -45 or 45 ...when you talk of angle of itnersection it is the same thing. The angles formed by the two lines will be 45 degrees and 135 degrees.
I dont think I wrote anything different from what you have written.
do the lines intersect can be interpreted as : at what angle from the X axis/ Y axis. To formulate a more "closed" question it would have been better if the statement read :
close
