List of top Mathematics Questions on Coordinate Geometry asked in CBSE Class X

The distance of the point \( A(4a, 3a) \) from x-axis is :

The mid-point of the line segment joining the points $(5, -4)$ and $(6, 4)$ lies on :

Find the coordinates of a point on the line x + y = 5 which is equidistant from (6, 4) and (5, 2).

Diagonals AC and BD of square ABCD intersect at P. Coordinates of points B and D are (9, -2) and (1, 6) respectively. (i) Find the coordinates of point P. (ii) Find the length of the side of the square.

In the given figure, \(\Delta ABC\) is an equilateral triangle. AD is a median of the triangle joining the points \(A\left(0, \frac{5\sqrt{3}}{2}\right)\), \(D(0, 0)\). Points B and C are (in same order) :

In the given figure, \(\Delta ABC\) is an equilateral triangle. \(AD\) is a median of the triangle joining the points \(A\left(0, \frac{5\sqrt{3}}{2}\right)\), \(D(0, 0)\). Points \(B\) and \(C\) are (in same order) :

Diagonals AC and BD of square ABCD intersect at P. Coordinates of points B and D are (9, -2) and (1, 6) respectively.
23(a)(i) Find the co-ordinates of point P.

In the given figure, $\Delta ABC$ is an equilateral triangle. $AD$ is a median of the triangle joining the points $A\left(0, \frac{5\sqrt{3}}{2}\right)$, $D(0, 0)$. Points B and C are (in same order) :

If the distance between the points (4, p) and (1, 0) is 5, what is the value of p ?

The three vertices of a rhombus PQRS are P(2, – 3), Q(6, 5) and R(– 2, 1). Find the coordinates of the fourth vertex S and coordinates of the point where both the diagonals PR and QS intersect.

If the points A(4, 5), B(m, 6), C(4, 3) and D(1, n) taken in this order are the vertices of a parallelogram ABCD, then find the values of m and n.

If the distance between the points (4, p) and (1, 0) is 5, then p is equal to :

If the points A(4, 5), B(m, 6), C(4, 3) and D(1, n) taken in this order are the vertices of a parallelogram ABCD, then find the values of m and n.

The distance of the point A(4a, 3a) from x-axis is :

The coordinates of the centre of a circle are $(x - 7, 2x)$. Find the value(s) of '$x$', if the circle passes through the point $(-9, 11)$ and has radius $5\sqrt{2}$ units.

The coordinates of the centre of a circle are $(x - 7, 2x)$. Find the value(s) of $'x'$, if the circle passes through the point $(-9, 11)$ and has radius $5\sqrt{2}$ units.

The mid-point of the line segment joining the points $(5, -4)$ and $(6, 4)$ lies on :

The fourth vertex D of a parallelogram ABCD whose three vertices are A\(-4, 1\), B\(4, 5\) and C\(6, 1\) is :

The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio

In the given figure, \(TP\) and \(TQ\) are tangents to a circle with centre \(M\), touching another circle with centre \(N\) at \(A\) and \(B\) respectively. It is given that \(MQ = 13 \text{ cm}\), \(NB = 8 \text{ cm}\), \(BQ = 35 \text{ cm}\) and \(TP = 80 \text{ cm}\).
(i) Name the quadrilateral MQBN. (1)
(ii) Is MN parallel to PA? Justify your answer. (1)
(iii) Find length TB. (1)
(iv) Find length MN. (2)

If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

Find the coordinates of the points of trisection of the line segment joining the points \( A(-1, 4) \) and \( B(-3, -2) \).

If the distance between the points (4, p) and (1, 0) is 5, then p is equal to :

In the given figure, a circle is centred at \((1, 2)\). The diameter of the circle is

If the points \(A(4, 5)\), \(B(m, 6)\), \(C(4, 3)\) and \(D(1, n)\) taken in this order are the vertices of a parallelogram \(ABCD\), then find the values of \(m\) and \(n\).