Geometryhard · Past Paper
If (x, y) is equidistant from (1, 2) and (3, 4), then:
Ax + y = 5
Bx - y = 5
Cx + y = 10
D2x + 2y = 10
✓ Correct Answer: A — x + y = 5
(x-1)^2 + (y-2)^2 = (x-3)^2 + (y-4)^2 => -2x+1-4y+4 = -6x+9-8y+16 => 4x+4y=20 => x+y=5.
Share this question
More from Geometry
- In a circle, two chords AB and CD intersect at a point E outside the circle. If AB = 5, BE = 4, and DE = 6, find the length of CD.
- Find the slope of the line joining (4, -2) and (4, 8).
- What is the angle subtended by a minor arc in the major segment?
- In triangle ABC, angle A = 30, B = 60. What is the ratio of sides a:b:c?
- In a circle with center O, chord AB = 8 cm and the perpendicular distance from O to AB is 3 cm. Find the radius of the circle.