Practice Questions – Coordinate Geometry – Class X

A line is of length \(10\) units and one end is \((2,-3)\). If the abscissa of the other end is 10. What is the ordinate ?

What is the ratio in which \(P(2,5)\) divides the line joining the points \((8,2)\) and \((-6,9)\) ?

Find the ratio the point \(P(n,6)\) divides the join of \(A(-4,3)\) and \(B(2,8)\), and hence find the value of ‘\(n\)’.

In what ratio is the lines segment joining the points \((7,3)\) and \((-4,5)\) divided by the Y-axis ?

In what ratio does the X-axis divide the line segment joining the points \((3,-4)\) and \((2,6)\) ?

Find the point of the trisection of the line joining the points \((-2,-19)\) and \((5,4)\).

What is the area of a triangle whose vertices are \(A(5,-1),\ B(3,8)\) and \(C(-4,2)\) ?

What is the area of the rhombus formed by \((3,0),\ (4,5),\ (-1,4)\) and \((-2,-1)\) as vertices ?

For what value of ‘\(n\)’ are the points \((5,5),\ (n,7)\) and \((8,8)\) collinear ?

Find the area of the triangle whose vertices are \((a,b+a),\ (a,b-c)\) and \((-a,c)\) .

\(P(3,4);\ Q(7,7)\) are collinear with the point \(R\). Find the coordinates of \(R\) ?

If the points \((a,0),\ (0,b)\) and \((1,1)\) are collinear, which of the following is true ?

Equation \(2x-y=4\) meets

Identify the coordinates of the points of trisection of a segment joining \(A(-3,2),\ B(9,5)\)

In which quadrant \((S)\) is abscissa positive ?

In which quadrant \((S)\) is ordinate positive ?

If \(P=(2,5),\ Q=(x,-7)\) and \(PQ=13\), what is the value of ‘\(x\)’ ?

If \(A=(-3,4)\) and \(B=(2,1)\), what are the coordinates the point \(C\) or \(AB\) produced such that \(AC=2BC\) ?

In parallelogram \(PQRS,\ P=(-19,-1),\ Q=(8,0),\ (7,5)\). What are the coordinates of ‘\(S\)’ ?

Find the coordinates of the centroid of triangle with vertices \(A(a,0),\ B(0,b)\) and \(C(1,1)\).