Let {\ABC} be an isosceles triangle in which {\A} is at (-1,0), \angle {\A}=\frac{2 \pi}{3}, {\AB}= {\AC} and {\B} is on the positive {\x}-axis. If {\BC}=4 \sqrt{3} and the line {\BC} intersects the line y=x+3 at (\alpha, \beta), then \frac{\beta^4}{\alpha^2} is : [1-Feb-2024 Shift 2]

Straight Lines and Pair of Straight Lines Part 2

Section: Mathematics

Question : 37 of 72

Marks: +1, -0

Let ABC be an isosceles triangle in which A is at (−1,0),∠A=‌

2π

,AB=AC and B is on the positive x-axis. If BC=4√3 and the line BC intersects the line y=x+3 at (α,β), then ‌

β4

α2

is :

[1-Feb-2024 Shift 2]

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