Q69.If a variable line drawn through the intersection of the lines x 3 + 4y = 1 and x4 + 3y = 1 , meets the coordinate axes at A and B, (A ≠B),then the locus of the midpoint of AB is: (1) 7xy = 6(x + y) (2) 4(x + y)2 −28(x + y) + 49 = 0 (3) 6xy = 7(x + y) (4) 14(x + y)2 −97(x + y) + 168 = 0
What This Question Tests
The question tests the ability to find the equation of a line passing through the intersection of two lines, determine its intercepts, and then find the locus of the midpoint of these intercepts.
Concepts Tested
Formulas Used
L1 + λL2 = 0
(x1+x2)/2, (y1+y2)/2
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Locus of a point
- Year
- 2016
- Shift
- 09 Apr Online
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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