Conic Sections Question 189

Question: The equation of a straight line drawn through the focus of the parabola $ y^{2}=-4x $ at an angle of 120° to the x-axis is

[Orissa JEE 2005]

Options:

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 $

Show Answer

Answer:

Correct Answer: C

Solution:

$ m=\tan (120{}^\circ )=-\sqrt{3} $ = Slope of the line which passes through (-1, 0). Required equation, $ y-0=-\sqrt{3}(x+1) $

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