Correct Answer - Option 3 : 2x - 7 = 0
Concept:
Equation of parabola y2 = 4ax
Equation of latus rectum of parabola, x - a = 0
Calculation:
Given:
y2 = 14x
On comparing with standard equation, y2 = 4ax,
4ax = 14x
⇒ a = 7/2
We know that equation of latus rectum, x - a = 0
⇒ x – (7/2) = 0
⇒ 2x - 7 = 0
∴ The equation of rectum is 2x - 7 = 0.
