If the sum of squares of all real values of \alpha, for which the lines 2 x-y+3=0,6 x+3 y+1=0 and \alpha x+2 y-2=0 do not form a triangle is p, then the greatest integer less than or equal to p is ......... [27-Jan-2024 Shift 2]

JEE Main 27-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 24 of 90

Marks: +1, -0

If the sum of squares of all real values of α, for which the lines 2x−y+3=0,6x+3y+1=0 and αx+2y−2=0 do not form a triangle is p, then the greatest integer less than or equal to p is .........

[27-Jan-2024 Shift 2]

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2	−1	3
6	3	1
α	2	−2