Let T_1 and T_2 be two distinct common tangents to the ellipse E: x^2 6 + y^2 3 = 1 and the parabola P: y^2 =...

Question

Let T_1 and T_2 be two distinct common tangents to the ellipse E: x^2 6 + y^2 3 = 1 and the parabola P: y^2 = 12x. Suppose that the tangent T_1 touches P and E at the points A_1 and A_2, respectively and the tangent T_2 touches P and E at the points A_4 and A_3, respectively. Then which of the following statements is(are) true?

Accepted Answer

(A),(C)

JEE Advanced 2023 Mathematics question

Solution

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