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ECAT Mathematics QUESTION #776
Question 1
If \(y^2 = 3x\), then the equation of latus rectum is:
  • \(x = \dfrac{3}{4}\)✔️
  • \(Y = \dfrac{4}{3}\)
  • \(Y = \dfrac{1}{3}\)
  • \(Y = \dfrac{5}{7}\)
Correct Answer Explanation
For parabola \(y^2 = 4ax\): \(4a = 3 \Rightarrow a = \dfrac{3}{4}\). The latus rectum is the vertical line \(x = a = \dfrac{3}{4}\).