Coordinate Geometry

Math ⇒ Geometry

Coordinate Geometry starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Coordinate Geometry. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

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?

If the distance between the points (x, 2) and (4, 6) is 5, what is the value of x?

If the equation of a circle is (x - 2)² + (y + 3)² = 16, what are the coordinates of its center?

If the equation of a line is 3x + 4y = 12, what is its y-intercept?

If the x-intercept of a line is 5, what is the equation of the line if it passes through the origin?

State the section formula for internal division of a line segment joining (x₁, y₁) and (x₂, y₂) in the ratio m:n.

What is the distance between the points (3, 4) and (7, 1)?

What is the general form of the equation of a straight line in the xy-plane?

A line passes through the point (3, 7) and is perpendicular to the line 2x - 5y + 8 = 0. What is the equation of the required line?

Find the equation of the circle passing through the points (1, 2), (4, 6), and (5, 3).

Given the equation of a circle x² + y² + 6x - 8y + 9 = 0, find the coordinates of the center and the radius.

Given the points A(2, -1), B(6, 3), and C(4, k), find the value of k such that the points A, B, and C are collinear.

If the vertices of a triangle are (1, 2), (4, 6), and (7, 2), find the length of the median from the vertex (1, 2) to the opposite side.