Question Bank: Coordinate Geometry

What are the coordinates of a point located on the x-axis?

In the coordinate plane, the point (0, y) lies on which axis?

If the coordinates of a point are (3, -4), what is its distance from the x-axis?

What is the formula to find the distance between two points (x1, y1) and (x2, y2)?

The point (4, 5) is located in which quadrant of the Cartesian plane?

Which of the following represents a linear equation in two variables?

Which of the following points lies on the line described by the equation y = 2x + 1?

If the coordinates (x, y) divide the line segment between (2, 3) and (8, 7) in the ratio 2:3, what are the coordinates of (x, y)?

What is the distance between the points (1, 2) and (4, 6)?

What is the y-intercept of the line represented by the equation 3x + 2y = 6?

What are the coordinates of a point that divides the line segment joining A(2, 3) and B(4, 7) in the ratio 1:3?

Which point is equidistant from the points (0, 0) and (6, 8)?

Find the coordinates of the point that divides the line segment between A(1, 4) and B(7, 10) in the ratio 3:5.

Which of the following is a correct description of the point (x, y) when x is negative and y is positive?

What is the ratio in which the point (3, 5) divides the line segment joining A(1, 1) and B(5, 9)?

Which coordinate pair would represent a point 5 units left and 3 units up from (0, 0)?

If point P divides A(4, 2) and B(2, 6) in the ratio 2:1, what are the coordinates of P?

If A(1,3), B(1,7), and C(7,3) are vertices of a triangle, how can you find the area of this triangle?

For points A(0, 0) and B(10, 10), what point divides the segment in the ratio 4:6?

What is the slope of the line that passes through points (2, 3) and (5, 11)?

What are the coordinates of point P that divides A(2, -3) and B(-6, 5) in the ratio 3:1?

In a two-dimensional plane, what geometric representation corresponds to the equation x + y = 5?

A point divides the segment joining A(3, 4) and B(-3, -4) in the ratio 1:2. What are its coordinates?

In what ratio does the line joining the points A(2, 1) and B(8, 5) divide the point P(5, 3)?

If A(0, 0) is at the origin and B(10, 0), what point divides AB in the ratio 1:4?

What is the distance formula's application when finding the midpoint between A(5, 5) and B(11, 9)?

Which of the following defines how a point divides a line segment in the section formula?

If a line segment AB is divided by point P in the ratio 1:2, and the coordinates of A are (1, 2) and B are (4, 6), what are the coordinates of P?

What point divides the segment A(0, 0) and B(6, 8) in the ratio 3:1?

What is the distance between the points A(1, 2) and B(4, 6)?

If point P(3, 4) is at a distance of 5 units from the origin, what is P's location?

What is the distance between points A(2, 2) and B(5, 5)?

If C(-1, -2) and D(3, 4) are two points, what is the distance between them?

Which is true for points (2, 3), (2, 7), and (2, -1)?

What is the distance between the points A(1, 1) and B(1, 5)?

Find the distance between points (-2, -3) and (2, 4).

Which of the following points is equidistant from A(1, 1) and B(3, 3)?

What distance does the point (0, 0) have from (3, 4)?

If P(x, y) is equidistant from A(1, 1) and B(3, 3), what equation must it satisfy?

Find the distance between points P(6, -2) and Q(-4, 10).

What is the coordinate form of a point on the x-axis?

Which set of points forms a right-angled triangle: P(-1, -2), Q(3, 2), R(0, 0)?

How do you find the distance between the points A(2, 3) and B(5, 7)?

Which of the following distances is equal to √50?

Which of the following equations represents a straight line in coordinate geometry?

Determine the condition for a point (x, y) to be on the perpendicular bisector of the segment joining A(2, 3) and B(6, 7).

The coordinates of a point P that divides the segment joining A(3, 4) and B(5, 8) in the ratio 1:2 are what?

What is the relationship between the points (-2, 2), (3, -1), and (1, -1)?

Points A(1, 2), B(4, 6), and C(7, 10) are collinear. What is the sum of any two segments distances greater than the third?

Which formula gives the distance of a point P(x, y) from the origin O(0, 0)?

If points A(1, 2), B(3, 6), and C(5, 4) form a triangle, what type of triangle is it?

Convince me: Is point D(3, 5) equidistant from points A(1, 2) and B(5, 8)?

Which of the following points represents the midpoint of A(2, 3) and B(4, 7)?

Finding the slope of line passing through points A(2, 3) and B(6, 7), what is it?

For which of the following conditions do points P(2, 3), Q(0, 0), and R(-2, -3) form a straight line?

If two points A(2, 1) and B(k, 4) lie on the same vertical line, what should k be?

Determine the relation between x and y if point P(x, y) remains equidistant from points A(3, 7) and B(1, 1).

Find the coordinates of point C dividing the segment AB from A(2, 4) to B(6, 8) in the ratio 2:3.