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 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?

If the equation of a circle is x² + y² = 49, what is the length of its diameter?

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

If the slope of a line is 0, what can you say about the line?

If the vertices of a triangle are (1, 1), (4, 5), and (7, 2), find its area.

If two lines are perpendicular, what is the product of their slopes?

State the general equation of a circle in the coordinate plane.

The equation of a circle is x² + y² + 4x - 6y + 9 = 0. What is the radius of the circle?

The equation of a line is y = mx + c. What does 'm' represent?

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

What is the length of the line segment joining the points (-1, 2) and (3, -2)?