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QJEEM20Mac910: JEE Main 2020 Mathematics - Class 11 JEEM20Mac910 Solution: The area (in sq. units) of an equilateral triangle inscribed in …

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 :

Multiple Choice Options

  • A 2563
  • B 643
  • C 1283
  • D 1923

Step-by-Step Verified Solution

Let A = (2t2 , 4t)

B = (2t2 , -4t) (by symmetry as equilateral triangle)
JEE Main 2020 (Online) 2nd September Evening Slot Mathematics - Parabola Question 89 English Explanation

tan 30o = 4t2t2 = 2t

⇒ t = 23

AB = 8t = 163

Area of equilateral = 12×163×24

= 1923

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