Practice Coordinate Geometry MCQs with Detailed Solutions – Level 1

What is the distance between the points A(3, −2) and B(−3, 6)?

Find the coordinates of the point that divides the line segment joining A(2, 5) and B(8, −1) internally in the ratio \(1 : 2.\)

The midpoint of the line segment PQ is M(3, 4). If P is (1, −2), what are the coordinates of Q?

Find the centroid of the triangle whose vertices are (4, −1), (−2, 5) and (7, 2).

What is the area of the triangle whose vertices are (1, 2), (4, 6) and (7, 2)?

What is the slope of the line passing through the points (−1, 4) and (3, −4)?

Which of the following is the equation of the line with slope 3 and y-intercept −5?

Find the x-intercept and the y-intercept of the line \(3x - 4y = 24.\)

For what value of \(k\) are the lines \(2x + 3y = 7\) and \(kx - 4y + 1 = 0\) perpendicular to each other?

Find the area of the triangle formed by the line \(4x + 5y = 40\) and the coordinate axes.