Q68.Two sides of a rhombus are along the lines, x −y + 1 = 0 and 7x −y −5 = 0 . If its diagonals intersect at (−1, −2) , then which one of the following is a vertex of this rhombus ? (1) ( 31 , −83 ) (2) (−103 , −73 ) (3) (−3, −9) (4) (−3, −8)
What This Question Tests
This question combines properties of a rhombus (diagonals bisect each other perpendicularly) with coordinate geometry concepts to find a vertex of the rhombus.
Concepts Tested
Formulas Used
Equation of a line
Midpoint formula
Slope of perpendicular lines
Distance formula
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Properties of rhombus
- Year
- 2016
- Shift
- 03 Apr
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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