Question 122

In xyplane, a straight line L 1 bisects the 1st quadrant and another straight line L 2 trisects the 2nd quadrant being closer to the axis ofy. The acute angle between L 1 and L 2 is

Solution

The line $$L_1$$ bisects the 1st quadrant

=> Angle between y-axis and $$L_1$$ = 45°

Also, $$L_2$$ trisects the 2nd quadrant

=> Angle between y-axis and $$L_2$$ = 30°

$$\therefore$$ Acute angle between $$L_1$$ and $$L_2$$ = 45° + 30° = 75°

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In xy­plane, a straight line L 1 bisects the 1st quadrant and another straight line L 2 trisects the 2nd quadrant being closer to the axis ofy. The acute angle between L 1 and L 2 is