Q66.Two sides of a parallelogram are along the lines 4x + 5y = 0 and 7x + 2y = 0 . If the equation of one of the diagonals of the parallelogram is 11x + 7y = 9, then other diagonal passes through the point: (1) (1, 2) (2) (2, 2) (3) (2, 1) (4) (1, 3)
What This Question Tests
The question requires finding the vertices of a parallelogram using the equations of its sides and one diagonal, and then utilizing the property that diagonals bisect each other to find the other diagonal's equation.
Concepts Tested
Formulas Used
Midpoint formula: ((x1+x2)/2, (y1+y2)/2)
Equation of line passing through two points
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๐ Question Details
- Chapter
- Coordinate Geometry
- Topic
- Properties of parallelogram
- Year
- 2021
- Shift
- 27 Jul Shift 2
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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