Practice Coordinate Geometry MCQs with Detailed Solutions – Level 2

The distance between the points (k, 3) and (5, −3) is 10 units. If \(k\) is positive, what is the value of \(k?\)

Find the coordinates of the point that divides the line segment joining A(−2, 5) and B(8, −5) internally in the ratio \(3 : 2.\)

The midpoint of the line segment AB is M(2, −1). If A is (−3, 4), what are the coordinates of B?

Two vertices of a triangle are (1, 4) and (−3, 2). If the centroid of the triangle is (2, 3), find the third vertex.

What is the area (in square units) of the triangle whose vertices are (2, 3), (−1, 0) and (4, −2)?

For what value of \(k\) are the points (1, −1), (k, 3) and (4, 5) collinear?

Find the equation of the line passing through (2, −1) and perpendicular to the line \(3x - 4y + 7 = 0.\)

The line joining the points (2, k) and (5, 7) is parallel to the line \(2x - 3y + 4 = 0.\) Find the value of \(k.\)

What is the sum of the x-intercept and the y-intercept of the line \(5x - 2y = 20?\)

A line passes through the point (2, 3) and has slope \(-\dfrac{3}{4}\). What is the area (in square units) of the triangle formed by this line with the coordinate axes?