Geometrymedium · Past Paper
Find the value of k if the distance between (3, k) and (4, 1) is sqrt(10).
A4 or -2
B3 or -1
C2 or -4
D5 or 1
✓ Correct Answer: A — 4 or -2
(4-3)^2 + (1-k)^2 = 10 => 1 + (1-k)^2 = 10 => (1-k)^2 = 9 => 1-k = +/-3. k=4 or k=-2.
Share this question
More from Geometry
- The coordinates of the centroid of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is:
- What is the equation of a line with slope 0 and passing through (4, 5)?
- The slope of a line which is equally inclined to the axes is:
- The perimeter of an equilateral triangle is 18 cm. Its area is:
- The slope of the line 7x - 2y + 5 = 0 is: