Q68.Let the equation of the pair of lines, y = px and y = qx, can be written as (y −px)(y −qx) = 0. Then the equation of the pair of the angle bisectors of the lines x2 −4xy −5y2 = 0 is: (1) x2 −3xy + y2 = 0 (2) x2 + 4xy −y2 = 0 (3) x2 + 3xy −y2 = 0 (4) x2 −3xy −y2 = 0
What This Question Tests
This question tests the knowledge of finding the equation of the pair of angle bisectors for a given pair of lines represented by a second-degree equation.
Concepts Tested
Formulas Used
Equation of pair of angle bisectors: (x^2 - y^2)/(a-b) = xy/h for ax^2 + 2hxy + by^2 = 0
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Angle bisectors of a pair of lines
- Year
- 2021
- Shift
- 25 Jul Shift 2
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines (Advanced concepts not directly in NCERT)
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