Coordinate Geometry
Math ⇒ Geometry
Coordinate Geometry starts at 8 and continues till grade 12.
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See sample questions for grade 10
Explain what is meant by the term 'collinear points' in coordinate geometry.
Find the area of the triangle with vertices at (0, 0), (4, 0), and (4, 3).
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 passing through (1, -2) and (3, 4).
Find the equation of the line passing through the points (1, 2) and (3, 8).
Find the equation of the line with slope 3 passing through the point (2, -1).
Find the slope of the line passing through the points (-2, 7) and (4, -5).
If a line has the equation y = mx + c, what does 'm' represent?
Which of the following is the equation of a circle with center (0, 0) and radius 5?
(1) x² + y² = 25
(2) x² + y² = 5
(3) x² + y² = 10
(4) x² + y² = 20
Which of the following is the equation of a circle with center (h, k) and radius r?
(1) (x + h)² + (y + k)² = r²
(2) (x - h)² + (y - k)² = r²
(3) (x - h)² + (y + k)² = r²
(4) (x + h)² + (y - k)² = r²
Which of the following is the equation of a line passing through (0, 2) and perpendicular to y = 4x + 2?
(1) y = -1/4x + 2
(2) y = 4x + 2
(3) y = 1/4x + 2
(4) y = -4x + 2
Which of the following is the equation of a line with slope 2 and y-intercept -3?
(1) y = 2x - 3
(2) y = -2x + 3
(3) y = 3x - 2
(4) y = 2x + 3
The coordinates of the centroid of a triangle with vertices (1, 2), (4, 5), and (7, 8) are _______.
The equation of a line parallel to y = 3x + 1 and passing through (2, 4) is _______.
The equation of a line perpendicular to y = -1/2x + 3 and passing through (0, 1) is _______.
The length of the line segment joining (a, b) and (c, d) is given by the formula _______.
True or False: The equation x² + y² + 4x - 6y + 9 = 0 represents a circle.
True or False: The line x = 4 is parallel to the y-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.
