jee-main 2024 Q65

jee-main · India · session1_27jan_shift1 Straight Lines & Coordinate Geometry Slope and Angle Between Lines

The portion of the line $4 x + 5 y = 20$ in the first quadrant is trisected by the lines $\mathrm { L } _ { 1 }$ and $\mathrm { L } _ { 2 }$ passing through the origin. The tangent of an angle between the lines $L _ { 1 }$ and $L _ { 2 }$ is:
(1) $\frac { 8 } { 5 }$
(2) $\frac { 25 } { 41 }$
(3) $\frac { 2 } { 5 }$
(4) $\frac { 30 } { 41 }$

The portion of the line $4 x + 5 y = 20$ in the first quadrant is trisected by the lines $\mathrm { L } _ { 1 }$ and $\mathrm { L } _ { 2 }$ passing through the origin. The tangent of an angle between the lines $L _ { 1 }$ and $L _ { 2 }$ is:\\
(1) $\frac { 8 } { 5 }$\\
(2) $\frac { 25 } { 41 }$\\
(3) $\frac { 2 } { 5 }$\\
(4) $\frac { 30 } { 41 }$

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