y2=8x,a=2
A≡(2t2,2(2)t)≡(2t2,4t)
tan30∘=2t24t=t2=31
t=23
Area of ΔOAB=2⋅ΔOMA=2⋅21⋅(2t2)(4t)=8t3=8(23)3=1923
The area (in sq. units) of an equilateral triangle inscribed in the parabola y2=8x, with one of its vertices on the vertex of this parabola is
Held on 2 Sept 2020 · Verified 6 Jul 2026.
643
2563
1923
1283
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