Geometrymedium · Past Paper
If the point (x, y) is equidistant from (5, 1) and (-1, 5), then:
A3x = 2y
Bx = y
C2x = 3y
D3x = 5y
✓ Correct Answer: A — 3x = 2y
(x-5)^2 + (y-1)^2 = (x+1)^2 + (y-5)^2. Simplifying: -10x + 25 - 2y + 1 = 2x + 1 - 10y + 25 => -12x = -8y => 3x = 2y.
Share this question
More from Geometry
- Which theorem states that for any triangle ABC and a line intersecting sides AB, BC, and CA at points C', A', and B' respectively, (AB'/B'C) * (CA'/A'B) * (BC'/C'A) = 1?
- If the side of an equilateral triangle is doubled, its area becomes:
- The Euler Line passes through which of the following three points?
- Find the equation of a line passing through (1, -1) and perpendicular to the line x + 2y = 3.
- In the figure, if AB || CD and the transversal cuts them such that an interior angle is 115 degrees, find its corresponding angle.