Family straight lines

1) It is given that the straight lines L(1): 2x+y-1=0 , L(2) : 3x-2y-5=0 , L(3) : x-3=0 and L(4) : x+y-1=0 a) Write down the equation of the family of straight lines passing through the point of intersection L(1) and L(2). b) Hence, find the equation of the line L which passes through the point... 顯示更多 1) It is given that the straight lines L(1): 2x+y-1=0 , L(2) : 3x-2y-5=0 , L(3) : x-3=0
and L(4) : x+y-1=0
a) Write down the equation of the family of straight lines passing through the
point of intersection L(1) and L(2).
b) Hence, find the equation of the line L which passes through the point of
intersection of L(1) and L(2) and the point of intersection of L(3) and L(4)

2) A straight line L passes through the point of intersection of the
lines L(1) :3x-4y+7=0 and L(2) : x-3y+2=0 and makes an acute angle of
45 degrees with the line L(3): y=2x+1. Find the equations of L
THz
更新: 第一題是否要把(3,-2) 代入2x+y-1+k(3x-2y-5) = 0 嗎?
更新 2: For Q.2 http://upload.lsforum.net/users/public/f309582qw222.png

Q.1 我試過,但ANS: x+2y+1=0
更新 3: TO WANszeto

為什麼我計算K時只計到K=-3/2 or -k-1=-k-2
而你間接用Let m1 再代番入k -->(1 + 3k) / (3 + 4k) = 1/3
反而計倒???

To Mr Kwok
I'm so sorry , for Q1, i calculated it wrong, you are right! thz for your time
3 個解答 3