RD Sharma Solutions Chapter 14 Coordinate Geometry Exercise 14.1 Class 10 Maths
Chapter Name  RD Sharma Chapter 14 Coordinate Geometry 
Book Name  RD Sharma Mathematics for Class 10 
Other Exercises 

Related Study  NCERT Solutions for Class 10 Maths 
Exercise 14.1 Solutions
1. On which axis do the following points lie?
(i) P (5, 0)
(ii) Q (0 – 2)
(iii) R (4, 0)
(iv) S (0, 5)
Solution
(i) P (5, 0)
Its ordinate or yaxis is 0. It lies on xaxis
(ii) Q (0 – 2)
Its abscissa or xaxis is 0. It lies on yaxis
(iii) R (4, 0)
Its ordinate is 0 It lies on xaxis
(iv) S (0, 5)
Its abscissa is 0. It lies on yaxis
2. Let ABCD be a square of side 2a. Find the coordinates of the vertices of this square when
(i) A coincides with the origin and AB and AD are along OX and OY respectively.
(ii) The centre of the square is at theorigin and coordinate axes are parallel to the sides AB and AD respectively.
Solution
ABCD is a square whose side is 2a
(i) A coincides with origin (0, 0)
AB and AD are along OX and OY respectively
Coordinates of A are (0, 0), of B are (2a, 0) of C are (2a, 2a) and of D are (0, 2a)
(ii) The centre of the square is at the origin (0, 0) and coordinates axes are parallel to the sides AB and AD respectively.
Then the coordinates of A are (a, a) of B are (a, a), of C are (a, a) and of D are (a, a) as shown in the figure given below:
3. The base PQ of two equilateral triangles PQR and PQR’ with side 2a lies along y axis such that the midpoint of PQ is at the origin. Find the coordinates of the vertices R and R’ of the triangles.
Solution
∆PQR and PQR' are two equilateral triangles with side 2a each and base PQ and mid of point of PQ is O(0, 0) and PQ lies along yaxis.