Equations of the straight line(s) inclined at 30° to the axis of x such that the length of its(their) line segments between the coordinate axies is 10 units is(are)??
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1 Answers
62slope corresponding to 30 degree to the x axis is given by ±tan(30)
let the eqtn be y=mx+c
the coordinates of the poitns where it intersects is given by (0, c) and (-c/m,0)
the length of the segement is 10,
so c2/m2+c2=100
m=±1/√3
so m2=1/3
so 4c2=100
c2=25
c=±5
so you have the equations :)
