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?

Options

A. The area of the quadrilateral `A_1A_2A_3A_4` iis 35 square units
B. The area of the quadrilateral`A_1A_2A_3A_4` is 36 square units
C. The tangents `T_1` and `T_2` meet the x -axis at the point `( -3,0) `
D. The tangents `T_1` and `T_2` meet the x -axis at the point `( -6,0)`