Coordinate geometry
midpoint and distance between points, whether a point lies on a line, intersection and relative position of two lines, a parallel line through a point, equation of a circle, a circle and the axes, reflecting points and circles in the axes and the origin
Exercises are drawn at random from a large bank - every click gives a different set.
Solved: 0 of 10
Give the intersection point of the lines
y = −3x − 5 y = −x + 3
How many points does this circle have in common with the y-axis?
(x + 3)² + (y − 4)² = 9
Give the image of the point under the reflection
P = (−12, 13), reflected in the x-axis
Does the point lie on this line?
y = x − 1, P = (6, 5)
Give the midpoint of the segment
A = (−7, −10), B = (19, −2)
Compute the distance between the points
A = (−10, −11), B = (−14, −21)
What angle does this line make with the positive x-axis?
y = −(√3/3)x − 10
Give the y-intercept of the line
A line parallel to y = 8x − 1 passes through the point (7, 11). Give the y-intercept of that line.
Which equation describes this circle?
A circle has centre (−1, −2) and radius 3.
Give the centre of the image of this circle
(x + 4)² + (y + 8)² = 34, reflected in the y-axis
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