List of top Mathematics Questions on Coordinate Geometry asked in UP Board X

In what ratio does the point (-4, 6) divide the line segment joining the points A(-6, 10) and B(3, -8)?

Find the distance between the points (-4, 5) and (2, -3).

If the points A (6, 1), B (8, 2), C (9, 4) and D (7, 3) are the vertices of a parallelogram, taken in order, the point of intersection of diagonals will be :

If the distance between the points $(x, 5)$ and $(2, -3)$ is 17 units, then find the value of $x$.

If the points $(1, 4)$, $(a, -2)$, and $(-3, 16)$ are collinear, then find the value of $a$.

The distance of point (7, 3) from y-axis will be

Prove that the points (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle.

Find the coordinates of the point which divides the line segment joining the points A(-1, 7) and B(4, -3) in the ratio 2 : 3.

The perimeter of a triangle whose vertices are (0, 4), (0, 0), and (3, 0) will be

In what ratio does the point \((-4, 6)\) divide the line segment joining the points \(A(-6, 10)\) and \(B(3, -8)\)?

The distance between the two points (2, 3) and (4, 1) will be

The distance of the point \((-3, -4)\) from the origin will be

The distance between the points (4, y) and (12, 3) is 10 units. Find the value of \( y \).

Find the relation between \( x \) and \( y \) such that the point \( (x, y) \) is equidistant from the points (3, 6) and (-3, 4).

The coordinates of the point on the x-axis and equidistant from the points (5, -2) and (-3, 2) will be:

The distance between the points (5, 0) and (-12, 0) will be:

Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8, 5) in the ratio 3 : 1 internally.

Find the values of \( y \) for which the distance between the points (5, -3) and (13, y) is 10 units.

The distance between the points (a, b) and (b, -a) will be:

Find the coordinates of the midpoint of the line segment joining the points $(-3, 10)$ and $(5, 4)$.

If the distance between the points $(-1, -3)$ and $(x, 9)$ is 13 units, then find the values of $x$.

Distance between two points (2, 3) and (1, 1) will be:

Find the co-ordinates of the point dividing the line segment formed by joining the points (2, -3) and (-4, 6) in the ratio 1 : 2.

In which ratio, does the point (–4, 6) divides the line segment made by joining the points A(–6, 10) and B(3, –8)?

The coordinates of the mid-point of the line segment made by joining the points (-2, 6) and (-2, 10) are