NVAMediumJEE Main 2024 · 27 January, Shift 2Straight Line Equations

Mathematics Question from JEE Main 2024 · 27 January, Shift 2

If the sum of squares of all real values of α\alpha, for which the lines 2xy+3=02x - y + 3 = 0, 6x+3y+1=06x + 3y + 1 = 0, and αx+2y2=0\alpha x + 2y - 2 = 0 do not form a triangle is pp, then the greatest integer less than or equal to pp is:

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