If the line, 2 {x}-{y}+3=0 is at a distance {1}/{\\sqrt{5} and {2}/{\\sqrt{5} from the lines 4 m{x}-2 {y}+\\alpha=0 and 6 x-3 y+\\beta=0, respectively, then the sum of all possible values of \\alpha and \\beta is _____. [5 Sep 2020 Shift 1]

Straight Lines and Pair of Straight Lines Part 1

Section: Mathematics

Question : 30 of 100

Marks: +1, -0

If the line, 2x−y+3=0 is at a distance

√5

and

√5

from the lines 4mx−2y+α=0 and 6x−3y+β=0, respectively, then the sum of all possible values of α and β is _____.

[5 Sep 2020 Shift 1]

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