Coefficient 81704

In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p:
a) it formed an angle of 120° with the positive direction of the x-axis,
b) passed through point A[3,-2],
c) was parallel to the x-axis,
d) had a direction of k = 4.

Correct answer:

a1 =  -3.4641
a2 =  -1.6667
a3 =  0
a4 =  8

Step-by-step explanation:

α=120° rad=120° 180π =120° 1803.1415926 =2.0944=2π/3 ax2y+1=0 f(x) = y = (ax+1)/2 = a/2   x + 1/2 k = a/2  k = tan α = a/2  a1=2 tanα=2 tan2.0944=2 3=3.4641
A=(3,2)  a2 Ax2 Ay+1=0 a2 32 (2)+1=0  3a2=5  a2=35=1.66666667  a2=351.666667=1.6667
px => k3=0 k3=0 a3=2 k3=2 0=0
k4=4 a4=2 k4=2 4=8

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