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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesIntersection of linesMedium2 minQB

MathematicsMediumsingle choice

The values of $m$ for which the system of equations $3 x + m y = m$ and $2 x - 5 y = 20$ has a solution satisfying the conditions $x > 0, y > 0$ are given by the set

Options:

Answer:

Solution:

Solving the equations gives x=25m/(2m+15) and y=(2m-60)/(2m+15). If 2m+15>0, positivity of both requires m>30. If 2m+15<0, both are positive for m<-15/2. At m=-15/2 the equations are inconsistent. Hence m>30 or m<-15/2, option D.

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Intersection of lines

⏱ 2mℹ️ Source: QB

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