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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesConcurrency & Family of LinesMedium2 minQB

MathematicsMediummultiple choice

The lines $(m - 2) x + (2 m - 5) y = 0; (m - 1) x + (m^{2} - 7) y - 5 = 0$ and $x + y - 1 = 0$ are

Options:(select one or more)

Answer:

C, D

Solution:

$Δ =$ determinant with Row 1: $m - 2, 2 m - 5, 0$ ; Row 2: $m - 1, m^{2} - 7, - 5$ ; Row 3: 1, 1, -1 equals $0 \Rightarrow (m - 3) (m^{2} - m + 2) = 0$ . For $m = 3$ , the lines become parallel.

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Concurrency & Family of Lines

⏱ 2mℹ️ Source: QB

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