Q67.Two sides of a parallelogram are along the lines, x + y = 3 and x โy + 3 = 0. If its diagonals intersect at (2, 4), then one of its vertex is: (1) (3, 6) (2) (2, 6) (3) (2, 1) (4) (3, 5)
What This Question Tests
This problem involves finding the vertices of a parallelogram using the given equations of two adjacent sides and the coordinates of the intersection point of its diagonals, which is the midpoint of both diagonals.
Concepts Tested
Formulas Used
Midpoint formula
Solving system of linear equations
๐ NCERT Sections This Tests
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๐ Question Details
- Chapter
- Coordinate Geometry
- Topic
- Properties of parallelogram
- Year
- 2019
- Shift
- 10 Jan Shift 2
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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