21.
Find the equation of the line which cuts off an intercept 4 on the x-axis and makes an angle
of 30° with the y-axis.
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1
Answer:
Standard equation of a line is given by y=mx+c,
where m is the slope of the line and c is the y intercept of the line.
If the line makes an angle of 60
o
with the positive direction of x-axis, then
m=tan60
o
=
3
∴ equation of the line is
⇒y=
3
x−4
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