Q65.The portion of the line 4x + 5y = 20 in the first quadrant is trisected by the lines L1 and L2 passing through the origin. The tangent of an angle between the lines L1 and L2 is : (1) 8 (2) 25 5 41 (3) 2 (4) 30 5 41
What This Question Tests
This problem involves finding the coordinates of points trisecting a line segment, then determining the slopes of lines passing through these points and the origin, and finally calculating the angle between these lines.
Concepts Tested
Formulas Used
Section formula for points
Slope of a line passing through origin: y=mx
tanΞΈ = |(m1 - m2) / (1 + m1m2)|
π NCERT Sections This Tests
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π Question Details
- Chapter
- Coordinate Geometry
- Topic
- Straight Lines
- Year
- 2024
- Shift
- 27 Jan Shift 1
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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