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An equilateral triangle is inscribed in the parabola
whose one of the vertex is at the vertex of

the parabola. The length of its side is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
An equilateral triangle is inscribed in the parabola whose one of the...
Solution
As shown in the figure APQ denotes the equilateral triangle with its equal sides of length l (say).


Thus
are the coordinates of the point
lying on the parabola

Therefore,

Thus,
is the required length of the side of the equilateral triangle inscribed in the parabola
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An equilateral triangle is inscribed in the parabola whose one of the vertex is at the vertex ofthe parabola. The length of its side isa)b)c)d) Correct answer is option 'D'. Can you explain this answer?
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