CBSE Class 10 Mathematics Worksheet
UNIT III: Coordinate Geometry - Coordinate geometry
1.
Let P and Q be the points of trisection of the line segment joining the point A(-2,2) and B(-7,4) such that P is nearer to A. Find the coordinates of P and Q.
2.
Find 'a' so that (3,a) lies on the line represented by 2x-3y-5=0. Also find the coordinates of the point where the line cuts the x axis.
3.
Find the point on the x-axis which is equidistant from the points (2,-5) and (-2,9).
4.
Find the ratio in which the point (-3,k) divides the line segment joining the points (-5,-4) and (-2,3). Also find the value of k.
5.
2 cubes each of volume 64 cm3 are joined end to end. The surface area of the resulting cuboid is 160 cm2.
A)
True
B)
False
6.
Find the perimeter of a triangle with vertices (0,4) (0,0) and (3,0)
7.
If the coordinate of point P on the line segment joining A(1,2) and B(6,7) such that AP = 2/5 AB.
8.
Find the point on the x-axis which is equidistant from the points (5,4) and (-2,3). Also find the area of triangle formed by points.
9.
If the mid-point of the line segment joining A(x/2, (y+1)/2) and B(x+1, y-3) is C(5, -2), find x,y.
10.
Find a relation between x and y such that point P (x,y) is equidistant from the points A(5,3) and B(7,2).
11.
why 1 is not a prime number?
12.
To locate a point Q on the line segment AB such that BQ = 5/7 X AB. What is the ratio of line segment in which AB is divided?
13.
If A(4,3), B(-1,y) and C(3,4) are the vertices of aright triangle ABC, right angled at A, find the value of y.
14.
Find the distance of the point (-4,-7) from the y-axis.
15.
If the distance of P(x,4) from A(6,2) and B(-2,6) are equal prove that y=2x.
16.
Find the perpendicular distance of A(5,12) from y-axis.
17.
The points A(4,7), B(P,3) and C(7,3) are the vertices of a right angled at B. Find the value of P.
18.
The coordinates of the vertices of triangle PQR are P(7,2), Q(9,10) and R(1,4). If E & F are the mid point of PQ and PR, prove that EF= 1/2 QR.
19.
The line segment joining the points A(3,2) and B(5,1) is divided at the point P in the ratio 1:2 and P lies on the line 3x-18y + k =0. Find the value of K.
20.
The coordinate of a point A on y-axis is 5 and B has coordinate (-3, 1). Find the length of AB.
CBSE Class 10 Mathematics Worksheet
UNIT III: Coordinate Geometry - Coordinate geometry
Answers
1.
2.
Point is (5/2, 0)
3.
The point is (-7,0)
4.
k = 2/3
5.
Option A
6.
12
Solution:
P (x,4) = (3,4)
8.
9.
y = -1
10.
0 is the required relation
12.
2:5
13.
y = -2
14.
4
15.
16.
5
17.
P = 7 or 4
18.
19.
20.
5
