Question

Statement I An equation of a common tangent to the parabola y² = 16√3x and the ellipse 2x² + y² = 4 is y = 2x + 2√3.

Statement II If the line y = mx + (4√3/m) (m+0)is a common tangent to the parabola y²√3x and the ellipse 2x² + y² = 4, then m satisfies m⁴ + 2m² = 24

(a) Statement I is true, Statement II is true. Statement II is a correct explanation of Statement I

(b) Statement I is true, Statement II is true; Statement II is not a correct explanation of Statement I

(c) Statement I is true, Statement II is false

(d) Statement I is false, Statement II is true

Answer 1

Correct Option (c) Statement I is true, Statement II is false

Explanation:

Analysis given, a parabola y² = 16√3x and an ellipse 2x² + y² = 4