JEE Main 2024 Mathematics question
In a ΔABC, suppose y = x is the equation of the bisector of the angle B and the equation of the side AC is 2x – y = 2. If 2AB = BC and the points A and B are respectively (4, 6) and (α, β), then α + 2β is equal to
Answer: (B)
Solution
B lies on y = x, so α = β. The bisector BD meets AC at D with AD : DC = AB : BC = 1 : 2. The lines y = x and 2x − y = 2 meet at D(2, 2). If C = (h, k), D divides AC as (h + 8)/3 = 2,
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