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NEST2023MathematicsParabola

Let A and B be two points on the parabola y-2 x^2=0 and 0 be the origin (0,0) . If

Options

  1. AO A B is an isosceles triangle then the y coordinates of A and B are equal.
  2. BO A B is an equilateral triangle then the length of each side is 3 .
  3. CO A B is an isosceles triangle and the two equal sides are of length 3 then O A B is an equilateral triangle.
  4. DO A B is an equilateral triangle then its altitude is 3 .

Correct answer

B. O A B is an equilateral triangle then the length of each side is 3 .

Step-by-step solution

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