A triangle is formed by the following points:
A = (1,2), B = (4,2), C = (4,6)
What are the co-ordinated of the centre of circle that circumscribes triangle ABC..
In the xy-plane, ten points are selected from the line with equation y = 0.8x - 24. If the range of the y-coordinates of the ten points is 7, what is the range of the x-coordinates of the ten points?
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In the xy-plane, which of the following points must lie on the line mx + 4y = 8 for every possible value of m?
I. (2, 0),
II. (2, 2)
III. (0, 2)
Find the coordinates of the point which divides the line joining (5, -2) and (9, 6) internally in the ratio 1 : 3.
On how many points can a circle intersect the coordinate axes?
Let X represent a segment on a number line such that −1 < x < 5. Let Y represent a segment on a number line such that 6 ≤ y ≤ 10. If X were shifted by 5 in the positive direction and Y were shifted by 2 in the positive direction, how many common integers would the new X and the new Y share?
The region enclosed by the line 2x + 3y = k and the two axes is a right triangle with an area of 6 square units. If the triangle is in Quadrant 1, then what is k?
The line ‘p’ passes through origin and has slope 3. If the points (x, 12) and (6, y) lie on ‘p’, what is the value of x - 2y?
In the coordinate plane, the line L has slope 2 and y intercept 4. If points (1, y) and (x, 2) lie on the line, what is the value of x-y ?
Find the perpendicular distance between the two parallel lines y = 4x + 5 and y = 4x + 7.