Question:medium
The points \( (2, 5) \) and \( (5, 1) \) are the two opposite vertices of a rectangle. If the other two vertices are points on the straight line \( y = 2x + k \), then the value of \( k \) is:
The points \( (2, 5) \) and \( (5, 1) \) are the two opposite vertices of a rectangle. If the other two vertices are points on the straight line \( y = 2x + k \), then the value of \( k \) is:
Show Hint
For any parallelogram (including rectangles and squares), the center of the figure is the midpoint of the diagonals. If a line contains one diagonal, it must contain this center point.
Updated On: May 6, 2026
- \( 4 \)
- \( 3 \)
- \( -4 \)
- \( -3 \)
- \( 1 \)
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on Coordinate Geometry
- Given that \( \cot \left( \frac{A+B}{2} \right) \cdot \tan \left( \frac{A-B}{2} \right) = \), and the equation \( \frac{x}{2} + \frac{y}{3} + \frac{2}{6} - 1 = 0 \), find the area of \( \Delta ABC = 2 \).
- MHT CET - 2025
- Mathematics
- Coordinate Geometry
- Given that: \[ \cot \left( \frac{A + B}{2} \right) \cdot \tan \left( \frac{A - B}{2} \right) \] and the equation involving coordinates: \[ \frac{x}{2} + \frac{y}{3} + \frac{2}{6} - 1 = 0 \] Find the area of \( \Delta ABC = 2 \).
- MHT CET - 2025
- Mathematics
- Coordinate Geometry
- Find the distance between the following pairs of points :
(i) (2, 3), (4, 1)
(ii) (– 5, 7), (– 1, 3)
(iii) (a, b), (– a, – b)- CBSE Class X
- Mathematics
- Coordinate Geometry
- Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B ?
- CBSE Class X
- Mathematics
- Coordinate Geometry
- Want to practice more? Try solving extra ecology questions todayView All Questions
