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Straight Lines and Pair of Straight Lines question

2021 · 20 Jul · Shift 2 · Q42
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  5. /2021 · 20 Jul · Shift 2 · Q42

Straight Lines and Pair of Straight Lines question

2021 · 20 Jul · Shift 2 · Q42

JEE MainMathematicsStraight Lines and Pair of Straight LinesNumerical+4 / −1
Consider a triangle having vertices A(−-− 2, 3), B(1, 9) and C(3, 8). If a line L passing through the circum-centre of triangle ABC, bisects line BC, and intersects y-axis at point (0,α2)\left( {0,{\alpha \over 2}} \right)(0,2α​), then the value of real number α\alphaα is ‾\underline{\hspace{2cm}}​.
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