Class 10 Maths – Coordinate Geometry Quiz

The distance of the point \((-6,\ 8)\) from the origin is:

The distance of the point \((-1,\ 7)\) from the x-axis is:

The distance between the points \((m,\ -n)\) and \((-m,\ n)\) is:

The point on the x-axis which is equidistant from the points \((5,\ 0)\) and \((-1,\ 0)\) is:

The distance between the points \((0,\ 0)\) and \((x,\ -4)\) is 5 units. The value(s) of \(x\) is/are:

The point on the y-axis equidistant from the points \((5,\ -2)\) and \((-3,\ 2)\) is:

The points \((-4,\ 0)\), \((4,\ 0)\) and \((0,\ 3)\) are the vertices of:

The points \((7,\ 10)\), \((-2,\ 5)\) and \((3,\ -4)\) are the vertices of a triangle that is:

The points \((2,\ -2)\), \((-2,\ 1)\) and \((5,\ 2)\) are the vertices of a triangle that is:

If the midpoint of the line segment joining the points \((a,\ 4)\) and \((2,\ 2b)\) is \((2,\ 6)\), then the values of \(a\) and \(b\) are:

The midpoint of the line segment joining the points \(P(-4,\ 5)\) and \(Q(4,\ 6)\) lies:

A and B are the endpoints of a diameter AB of a circle with centre \((-2,\ 2)\). If \(B = (3,\ 4)\), then the coordinates of A are:

In a parallelogram ABCD, two adjacent vertices are \(A(3,\ 2)\) and \(B(-1,\ 0)\), and the diagonals AC and BD intersect at \(P(2,\ -5)\). The remaining vertices C and D are:

Using the distance formula, the points \(A(2,\ 3)\), \(B(-7,\ 0)\) and \(C(-1,\ 2)\):

The point \(P(x,\ y)\) is equidistant from the points \(A(7,\ 1)\) and \(B(3,\ 5)\). The relation between \(x\) and \(y\) is:

Points \(A(-1,\ y)\) and \(B(5,\ 7)\) lie on a circle with centre \(O(2,\ -3y)\) such that AB is a diameter of the circle. The value of \(y\) is:

On a sports-field grid, a fountain is placed at \(F(2,\ 1)\) and an entrance gate at \(G(6,\ 4)\). The straight-line distance between the fountain and the gate is:

A rope swing is tied to two poles at \(A(2,\ -3)\) and \(B(10,\ 5)\). The midpoint of the rope, where it dips the most, is at:

A sports teacher marks three checkpoints at \(A(1,\ 2)\), \(B(3,\ 6)\) and \(C(4,\ 8)\) on a practice track. Using the distances AB, BC and AC, the three checkpoints:

A triangular poster is to be pinned on a display board at \(P(2,\ 3)\), \(Q(2,\ 7)\) and \(R(5,\ 7)\). The poster is in the shape of a: