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 12

Explain the meaning of the term 'locus' in coordinate geometry.

Find the area of the triangle with vertices at (0, 0), (4, 0), and (4, 3).

Find the equation of the circle passing through the origin and having center at (3, -2).

Find the equation of the line passing through (1, 2) and (3, 6).

Find the equation of the line passing through (2, 5) and perpendicular to the line y = -2x + 3.

Find the equation of the line that passes through the intersection of the lines x + y = 4 and x - y = 2 and is parallel to the x-axis.

Find the equation of the perpendicular bisector of the segment joining (2, 3) and (6, 7).

If a line has equation y = mx + c, what does the parameter m represent?

If the coordinates of the endpoints of a diameter of a circle are (2, 3) and (8, 7), what are the coordinates of the center?

If the equation of a circle is x² + y² - 6x + 8y + 9 = 0, what are the coordinates of its center?

If the equation of a line is 2x + 3y = 6, what is its y-intercept?

If the equation of a line is 3x - 4y + 12 = 0, what is its slope?

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