Find the equation of latus rectum  of parabola  y2 = 14x .

  1. 2y - 7 = 0 
  2. 2y + 7 = 0
  3. 2x + 7 = 0
  4. 2x - 7 = 0

Answer (Detailed Solution Below)

Option 4 : 2x - 7 = 0
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Concept: 

Parabola,  y2 = 4ax, where a > 0, then  

Equation of latus rectum, x = a or x - a = 0

F2 Aman 29.4.20 Pallavi D1

 

Calculation: 

Given parabolic equation, y2 = 14x  

On comparing with standard equation,  y2 = 4ax, we get a =  \(\frac{7}{2}\) 

We know that equation of latus rectum, x - a = 0  

⇒ x - \(\frac{7}{2}\) = 0 

2x - 7 = 0 .

The correct option is 4.

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