Question -
Answer -
Let us consider тАШm1тАЩ┬аandтАШmтАЩ be the slope of the two given lines such that m1┬а= 2m
We know that if ╬╕ is the angle between the lines l1 and l2 withslope m1┬аand m2, then
1+2m2┬а= -3m
2m2┬а+1 +3m = 0
2m (m+1) + 1(m+1) = 0
(2m+1) (m+1)= 0
m = -1 or -1/2
If m = -1, then the slope of the lines are -1 and -2
If m =┬а-1/2, then the slope of the linesare┬а-1/2┬аand -1
Case 2:
2m2┬атАУ 3m + 1 = 0
2m2┬атАУ 2m тАУ m + 1= 0
2m (m тАУ 1) тАУ 1(m тАУ 1) = 0
m = 1 or┬а1/2
If m = 1, then the slope of the lines are 1 and 2
If m =┬а1/2, then the slope of the linesare┬а1/2┬аand 1
тИ┤ Theslope of the lines are [-1 and -2] or┬а[-1/2┬аand -1] or [1 and 2]or┬а[1/2┬аand 1]