Question

An equilateral triangle \(SAB\) is inscribed in the parabola \(y^2 = 4ax\) having its focus at \(S\). If chord \(AB\) lies towards the left of \(S\), then side length of this triangle is

• A. \(2a(2 - \sqrt{3})\)
• B. \(4a(2 - \sqrt{3})\)
• C. \(a(2 - \sqrt{3})\)
• D. \(8a(2 - \sqrt{3})\)

Hint:

Use parametric form and angle condition.

Answer 1

The Correct Option is B