Question

Equation of a straight line which makes an angle \(150^\circ\) with the positive direction of X-axis and an intercept \(4\) units on the Y-axis is

• A. \(x+y\sqrt{2}=4\sqrt{2}\)
• B. \(y+x\sqrt{3}=4\)
• C. \(x+y\sqrt{3}=4\sqrt{3}\)
• D. \(x-y\sqrt{3}=4\sqrt{3}\)

Hint:

If a line makes an angle \(\theta\) with the positive X-axis, then \[ m=\tan\theta. \] The slope-intercept form is \[ y=mx+c, \] where \(c\) is the Y-intercept.

Answer 1

The Correct Option is C