Coordinate Geometry
Math ⇒ Geometry
Coordinate Geometry starts at 8 and continues till grade 12.
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See sample questions for grade 11
Explain the meaning of the term 'locus' in coordinate geometry.
Find the coordinates of the point of intersection of the lines y = 2x + 1 and y = -x + 4.
Find the coordinates of the point that divides the segment joining (2, 3) and (8, 9) in the ratio 1:2.
Find the equation of the line parallel to y = 2x + 3 and passing through (1, 4).
Find the equation of the line passing through (2, -1) and perpendicular to the line y = 3x + 4.
Find the equation of the line passing through (4, 5) and (6, 9).
Find the equation of the perpendicular bisector of the segment joining (2, 3) and (6, 7).
If the equation of a circle is (x - 2)2 + (y + 3)2 = 16, what are the coordinates of its center?
Which of the following is the correct formula for the distance between two points (x1, y1) and (x2, y2)?
(1) |x1 - x2| + |y1 - y2|
(2) √[(x2 - x1)2 + (y2 - y1)2]
(3) (x1 + x2)/2, (y1 + y2)/2
(4) (x1 - x2)(y1 - y2)
Which of the following is the equation of a circle with center at (0, 0) and radius 5?
(1) x2 + y2 = 25
(2) x2 + y2 = 10
(3) x2 + y2 = 5
(4) x2 + y2 = 20
Which of the following is the equation of a line passing through (0, 0) and perpendicular to y = -x?
(1) y = x
(2) y = -x
(3) y = 2x
(4) y = -2x
Which of the following is the equation of a line passing through (1, 2) with slope 3?
(1) y = 3x + 2
(2) y = 3x - 1
(3) y = 3x - 1
(4) y = 3x - 1
The area of the triangle with vertices at (0, 0), (4, 0), and (4, 3) is _______.
The coordinates of the centroid of a triangle with vertices (1, 2), (4, 5), and (7, 8) are _______.
The locus of points equidistant from the points (2, 0) and (-2, 0) is _______.
The midpoint of the segment joining (2, -3) and (8, 5) is _______.
True or False: The equation x = 5 represents a vertical line.
True or False: The equation y = x represents a line passing through the origin at 45 degrees to the x-axis.
True or False: The points (1, 2), (3, 6), and (5, 10) are collinear.
True or False: The slope of a vertical line is undefined.
