JEE Advanced Model Paper 8 with solutions for online practice

Let the middle pt of chord be (t2 , 2t) . Mid pt of chord must lie inside the ellipse
⇒ t2 + 8t2 - 1 < 0 ⇒ t2 ∊ (0 , - 4 + √17)
eqn. of chord is t2x + 4ty = t4+8t2 . This passes through (α , 0) ⇒ t2 = 0 or t2 = α - 8
∴ α ∊ (8 , 4 + √17)