Let {\A}(0,1), {\B}(1,1) and {\C}(1,0) be the mid-points of the sides of a triangle with incentre at the point {\D}. If the focus of the parabola y^2=4 {\ax} passing through D is (\alpha+\beta \sqrt{3}, 0), where \alpha and \beta are rational numbers, then \frac{\alpha}{\beta^2} is equal to [8-Apr-2023 shift 2]

JEE Mains 8-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 18 of 90

Marks: +1, -0

Let A(0,1),B(1,1) and C(1,0) be the mid-points of the sides of a triangle with incentre at the point D. If the focus of the parabola y2=4‌ax passing through D is (α+β√3,0), where α and β are rational numbers, then ‌

β2

is equal to

[8-Apr-2023 shift 2]

6
8
‌
9
2
12

Validate

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