Correct Answer - Option 2 : 2x - 15 = 0
Concept:
Parabola, y2 = 4ax, where a > 0, then
Equation of latus rectum, x - a = 0
Parabola, y2 = - 4ax, where a > 0, then
Equation of latus rectum, x + a = 0
Calculation:
Given parabolic equation, y2 = 30x
On comparing with standard equation, y2 = 4ax, we get a = \(\frac{15}{2}\)
We know that equation of latus rectum, x - a = 0
⇒ x - \(\frac{15}{2}\) = 0
⇒ 2x - 15 = 0 .
The correct option is 2.