The straight lines l₁ and l₂ pass through the origin and trisect the line segment of the line L: 9 x+5 y=45 between the axes. If m₁ and m₂ are the slopes of the lines l₁ and l₂, then the point of intersection of the line y=(m₁+m₂) x with L lies on:

Coordinate Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Morning shift · Q5621

JEE Main 20236 Apr, Morning shiftMathematicsHardCoordinate Geometry478× since 2002

The straight lines

\mathrm{l_{1}}

and

\mathrm{l_{2}}

pass through the origin and trisect the line segment of the line L :

9 x+5 y=45

between the axes. If

\mathrm{m}_{1}

and

\mathrm{m}_{2}

are the slopes of the lines

\mathrm{l_{1}}

and

\mathrm{l_{2}}

, then the point of intersection of the line

\mathrm{y=\left(m_{1}+m_{2}\right)}x

with L lies on :