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MHT CET · Maths · Parabola

The equation of the directrix of the parabola \(3 x^{2}=16 y\) is

  1. A \(3 y+4=0\)
  2. B \(3 x+4=0\)
  3. C \(3 y-4=0\)
  4. D \(3 x-4=0\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(3 y+4=0\)

Step-by-step Solution

Detailed explanation

\(3 x^{2}=16 y\)
\(x^{2}=\frac{16}{3} \quad ; a=\frac{4}{3}\)
Digectin \(\rightarrow\)
\(y+\frac{4}{3}=0\)
\(3 y+4=0\)