JEE Math Practice Question
If the tangent to the parabola y2 = x at a point ($$\alpha $$, $$\beta $$), ($$\beta $$ > 0) is also a tangent to the ellipse, x2 + 2y2 = 1, then $$\alpha $$ is equal to :
- A.$$\sqrt 2 + 1$$
- B.$$\sqrt 2 - 1$$
- C.$$2\sqrt 2 + 1$$
- D.$$2\sqrt 2 - 1$$
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