AP EAMCET · Maths · Parabola
An equilateral triangle is inscribed in the parabola \(y^2=8 x\), with one of its vertices is the vertex of the parabola. Then, length of the side of that triangle is
- A \(24 \sqrt{3}\) units
- B \(16 \sqrt{3}\) units
- C \(8 \sqrt{3}\) units
- D \(4 \sqrt{3}\) units
Answer & Solution
Correct Answer
(B) \(16 \sqrt{3}\) units
Step-by-step Solution
Detailed explanation
Let \(a\) be the length of the side of an equilateral triangle. Then, from above figure, we can say that the point \(\left(\frac{\sqrt{3}}{2} a, \frac{a}{2}\right)\) will lie on parabola \(y^2=8 x\). So,…
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