NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 7: Coordinate Geometry

Exercise 7.1

The distance of the point \(P(2,3)\) from the x-axis is

The distance between the points \(A(0,6)\) and \(B(0,-2)\) is

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

The distance between the points \((0,5)\) and \((-5,0)\) is

AOBC is a rectangle whose three vertices are \(A(0,3),\ O(0,0)\) and \(B(5,0)\). The length of its diagonal is

The perimeter of a triangle with vertices \((0,4),(0,0),(3,0)\) is

The area of a triangle with vertices \(A(3,0),\ B(7,0)\) and \(C(8,4)\) is

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

The point which divides the line segment joining \((7,-6)\) and \((3,4)\) in ratio \(1:2\) internally lies in the

The point which lies on the perpendicular bisector of the line segment joining the points \(A(-2,-5)\) and \(B(2,5)\) is

The fourth vertex \(D\) of a parallelogram \(ABCD\) whose three vertices are \(A(-2,3),\ B(6,7)\) and \(C(8,3)\) is

If the point \(P(2,1)\) lies on the line segment joining points \(A(4,2)\) and \(B(8,4)\), then

If \(P\big(\dfrac{a}{3},4\big)\) is the mid-point of the line segment joining the points \(Q(-6,5)\) and \(R(-2,3)\), then the value of \(a\) is

The perpendicular bisector of the line segment joining the points \(A(1,5)\) and \(B(4,6)\) cuts the y-axis at

The coordinates of the point which is equidistant from the three vertices of \(\triangle AOB\) as shown in Fig. 7.1 is

A circle drawn with origin as the centre passes through \(\big(\dfrac{13}{2},0\big)\). The point which does not lie in the interior of the circle is

A line intersects the y-axis and x-axis at the points \(P\) and \(Q\), respectively. If \((2,-5)\) is the mid-point of \(PQ\), then the coordinates of \(P\) and \(Q\) are, respectively

The area of a triangle with vertices \((a,b+c)\), \((b,c+a)\) and \((c,a+b)\) is

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

If the points \(A(1,2)\), \(O(0,0)\) and \(C(a,b)\) are collinear, then