RD Chapter 14- Co-ordinate Geometry Ex-14.2 |
RD Chapter 14- Co-ordinate Geometry Ex-14.3 |
RD Chapter 14- Co-ordinate Geometry Ex-14.4 |
RD Chapter 14- Co-ordinate Geometry Ex-14.5 |

On which axis do the following points lie?

(i) P (5, 0)

(ii) Q (0 – 2)

(iii) R (-4, 0)

(iv) S (0, 5)

**Answer
1** :

(i) P (5, 0)

Its ordinate or y-axis is 0. It lies on x-axis

(ii) Q (0 – 2)

Its abscissa or x-axis is 0. It lies on y-axis

(iii) R (-4, 0)

Its ordinate is 0 It lies on x-axis

(iv) S (0, 5)

Its abscissa is 0. It lies on y-axis

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 the-origin and coordinate axes are parallel to the sides AB and AD respectively.

**Answer
2** :

ABCD is a square whose side is 2a

(i) A coincides with origin (0, 0)

AB and AD are along OX and OY respectively

Co-ordinates 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 co-ordinates axes are parallel to the sides AB and AD respectively.

Then the co-ordinates 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 :

**Answer
3** :
∆PQR and PQR’ are equilateral triangles with side 2a each and base PQ and mid of point of PQ is 0 (0, 0) and PQ lies along y-axis

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