Question

The equation of a straight line drawn through the focus of the parabola y² =-4x at an angle of 120⁰ to the x-axis is

• A. $y + \sqrt{3}(x - 1) = 0$
• B. $y - \sqrt{3}(x - 1) = 0$
• C. $y + \sqrt{3}(x + 1) = 0$
• D. $y - \sqrt{3}(x + 1) = 0$

Answer 1

Answer: (C)

$y + \sqrt{3}(x + 1) = 0$

Answer 2

m = tan(120⁰) = $- \sqrt{3}$

= Slope of the line which passes through (-1, 0)

Required equation, $y + \sqrt{3}(x + 1) = 0$