# Coordinate Geometry : Exercise 3.2 (Mathematics NCERT Class 9th)

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**Q.1Â Â Â Â Â Write the answer to each of the following questions : **

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane ? Â Â Â Â Â Â Â Â Â Â Â **

**(ii) What is the name of each part of the plane formed by these two lines?**

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

**(iii) Write the name of the point where these two lines intersect.**

**Sol.****(i)** The name of horizontal and vertical lines drawn to divide the plane into four parts is x-axis & y-axis.

**(ii)** The name of each part of the plane divided by axes is quadrant.

**(iii)** These two lines (axes) intersect at the origin.

**Q.2Â Â Â Â Â Â See figure and write the following :**

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **(i) The co-ordinates of B.**

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **(ii) The co-ordinates of C.**

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **(iii) The point identified by the co-ordinates (â€“3, â€“5).**

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **(iv) The point identified by the co-ordinates (2, â€“4).**

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **(v) The abscissa of the point D.**

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **(vi) The ordinate of the point H.**

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **(vii) The co-ordinates of point L.**

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **(viii) The co-ordinates of the point M.Â **

**Sol. **

Clearly from the figure :

**(i)** The co-ordinates of B are (â€“5, 2)

**(ii)** The co-ordinates of C are (5, â€“5).

**(iii)** The co-ordinates (â€“3, â€“5) are identified by the point E.

**(iv)** The co-ordinates (2, â€“4) are identified by the point G.

**(v)** The abscissa of the point D is 6.

**(vi)** The ordinate of the point H is â€“ 3.

**(vii)** The co-ordinates of the point L are (0, 5)

**(viii)** The co-ordinates of the point M are (â€“3, 0)

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