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JEE Main 2019 · 10 Jan · Shift I

JEE Main 2019 Mathematics question on Conic Sections

If the parabolas y2=4b(x−c)y^2 = 4b(x - c) and y2=8axy^2 = 8ax have a common normal, then which one of the following is a valid choice for the ordered triad (a,b,c)(a, b, c)?
  1. A.
    (12,2,0)\left(\frac{1}{2}, 2, 0\right)
  2. B.
    (1,1,0)(1, 1, 0)
  3. C.
    (1,1,3)(1, 1, 3)
  4. D.
    (12,2,3)\left(\frac{1}{2}, 2, 3\right)
Show answer

Correct option: C

[JEE Main 2019 · 10 Jan · Shift I]

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