TS EAMCET · Maths · Parabola
If all the vertices of an equilateral triangle lie on the parabola \(y^2=16 x\) and one of them coincides with the vertex of that parabola, then the length of the side of that triangle is
- A \(32 \sqrt{3}\)
- B \(16 \sqrt{3}\)
- C \(8 \sqrt{3}\)
- D 32
Answer & Solution
Correct Answer
(A) \(32 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Given equation of parabola, \(y^2=16 x\) and all the vertices are of an equilateral triangle with one of them coincides with the vertex of parabola Since, given parabola is symmetrical about \(X\)-axis So, \(\angle A O M=30^{\circ}\) In…
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