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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
An equilateral triangle is inscribed in a parabola $y^2=8x$ whose one vertix is at the vertex of the parabola then the length of the side of the triangle is:
Solution
Shortcut (Formula):
For a parabola \(y^2=4ax\), an equilateral triangle inscribed with one vertex at the parabola’s vertex has side
\[ s = 8a\sqrt{3}. \]
Here \(y^2=8x \Rightarrow 4a=8 \Rightarrow a=2\). Hence
\[ s = 8\cdot 2\sqrt{3}=16\sqrt{3}. \]
Final Answer: \(16\sqrt{3}\)
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