equations of straight line

2007-04-15 8:53 pm
1).
A point P(3,4) and the line L: x+2y-20 = 0 are given Find the equations of straight lines which pass through P and make an acute angle Z with L , where tanZ = 1/3.

2).
L represents a family of straight lines passing through the point (2,3) .
(a) Find the equation of L.
(b) If L'' is a line of L having equal intercepts, find the equation(s) of L''.




please state the step clearly,,,thanks a lot

回答 (1)

2007-04-15 9:20 pm
✔ 最佳答案
1. The slope of L is -1/2.
The line through P has a slope of
tanZ = (m1-m2)/(1+m1m2)
1/3 = (-1/2-m2)/(1+-1/2m2)
-5/2 = 5/2m2
m2 = -1
The equation is: y-3 = -1(x-4)
y = -x+7
x+y-7=0
only know Q1
參考: FROM me


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