Question:medium
If \( (x, y) \) is equidistant from \( (a+b, b-a) \) and \( (a-b, a+b) \), then:
If \( (x, y) \) is equidistant from \( (a+b, b-a) \) and \( (a-b, a+b) \), then:
Show Hint
The locus of points equidistant from two points is the perpendicular bisector of the segment joining them. The equation \( bx-ay=0 \) represents a straight line passing through the origin.
Updated On: May 1, 2026
- \( x+y = 0 \)
- \( bx-ay = 0 \)
- \( ax-by = 0 \)
- \( bx+ay = 0 \)
- \( ax+by = 0 \)
Show Solution
The Correct Option is B
Solution and Explanation
Was this answer helpful?
0
Top Questions on Coordinate Geometry
- Two circles with centers $O_1$ and $O_2$ touch externally. The radius of the first circle is 4 cm and the second is 9 cm. The distance between their centers is 13 cm. Find the length of the direct common tangent.
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- Find the coordinates of the point which divides the line segment joining \((2, -3)\) and \((7, 9)\) in the ratio \(3:2\).
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- The equation of the circle passing through the points (1,2), (4,3), and (2,–1) is:
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- If the distance between the points \( (2, -1) \) and \( (k, 3) \) is 5, then the possible values of \( k \) are:
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- Want to practice more? Try solving extra ecology questions todayView All Questions
