STATEMENT-1 : An equation of a common tangent to the parabola y^2=16 \sqrt{3} x and the ellipse 2 x^2+y^2=4 is y=2 x+2 \sqrt{3} STATEMENT-2 :If line y=m x+ {4 \sqrt{3}}/{m},(m \neq 0) is a common tangent to the parabola y^2=16 \sqrt{3 x} and the ellipse 2 x^2+y^2=4, then m satisfies m^4+2 m^2=24 [AIEEE 2012]

Correct Answer is : Statement- 1 is true, Statement- 2 is true; Statement- 2 is a correct explanation for Statement-1.

Statement- 1 is false, Statement- 2 is true.

Statement- 1 is true, Statement- 2 is true; Statement- 2 is a correct explanation for Statement-1.

Statement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement-1.

Statement- 1 is true, Statement- 2 is false.

AIEEE 2012 Solved Paper

Section: Mathematics

Question : 69 of 89

Marks: +1, -0

STATEMENT-1 : An equation of a common tangent to the parabola y2=16√3x and the ellipse 2x2+y2=4 is y=2x+2√3
STATEMENT-2 :If line y=mx+‌

4√3

,(m≠0) is a common tangent to the parabola y2=16√3x and the ellipse 2x2+y2=4, then m satisfies m4+2m2=24

[AIEEE 2012]

Statement- 1 is false, Statement- 2 is true.
Statement- 1 is true, Statement- 2 is true; Statement- 2 is a correct explanation for Statement-1.
Statement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement-1.
Statement- 1 is true, Statement- 2 is false.

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