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Question

The set of values of 'α' for which three distinct chords drawn from (α, 0) to the ellipse x2+2y2=1 are bisected by the parabola y2 = 4x is
  1. (0,4+17)
  2. (0,4+17)
  3. (8,4+17)
  4. (8,)


Solution

The correct option is C (8,4+17)
Let the middle pt of chord be (t2, 2t). Mid pt of chord must lie inside the ellipse
t4+8t21<0       t2ϵ(0,4+17)
eqn. of chord is t2x+4ty=t4+8t2
ϵ(8,4+17)

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