#### CLASS Nine Maths Chap 3 Coordinate Geometry

#### Chapter 3: Coordinate Geometry

**Very Short Answer Type
Questions: [1 Mark]**

**1. If the coordinates of a point are (x, y) and it lies in the 4th quadrant, then x > 0, y > 0. Is it true? **

**Sol. **No, the sign of the coordinates of a point in the 4th quadrant is (+, –), therefore, *x *> 0, *y *< 0.

**2. ****Which of the following points lies on the x-axis? **

**(0, 4), (–5, –3), (5, 0), (0, 6) **

**Sol. **All those points whose ordinate is zero lie on the *x-*axis, therefore (5, 0) lie on the *x-*axis*. *

**3. ****On which axis does the point (0, 4) lie? **

**Sol. **All those points whose abscissa is zero lies on the *y*-axis.

**4. The ordinate*** of a point is negative in which quadrants? *

**Sol. The ordinate** of a point is negative in III and IV quadrant.

**5. The abscissa*** of a point is positive in which quadrants? *

**Sol. The abscissa** of a point is positive in I and IV quadrants.

**6. ****If (x, y) = (y, x), then x – y = 0. Is it true? **

**Sol. **Yes, we have, (*x, y*)
= (*y*, *x*). Equating the abscissae, we get *x = y *or *x – y
= *0

**7. ****The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (–2, 0), then find the coordinates of B. **

Sol. The distances of A and B from its perpendicular bisector will be equal, therefore the coordinates of B will be (2, 0)**8. ***In the figure, find the point whose coordinates are (3, – 4).*

**Sol. **From the figure, it is clear that abscissa of point Q is 3
and its ordinate is – 4.

**9. ****In the figure, find the distance between the points A and B.**

**10. ****Which of the following points lies on the x-axis? **

**(0, 4), (–5, –3), (5, 0), (0, 6) **

**Sol. **All those points whose ordinate is zero lies on the *x-*axis, therefore (5, 0) lies on the *x-*axis*. *

**11. ****On which axis does the point (0, 4) lie? **

**Sol. **All those points whose abscissa is zero lies on the *y*-axis.

**12. The abscissa*** of a point is positive in which quadrants? *

**Sol. The abscissa** of a point is positive in I and IV quadrants.

**13. The ordinate*** of a point is negative in which quadrants? *

**Sol. The ordinate** of a point is negative in III and IV quadrant.

**14. ***On which quadrant do the
points (–5, 2) and (2, –5) lie? *

**Sol. **II and IV.

**15. ***The perpendicular bisector
of a line segment AB passes through the origin. If the coordinates of A are
(–2, 0), then find the coordinates of B. *

Sol. The distances of A and B from its perpendicular bisector will be equal, therefore the coordinates of B will be (2, 0)

**16. What are the names of horizontal and vertical lines that are drawn to find out the position of any point in the Cartesian plane? **

**Sol: **The names of horizontal
and vertical lines that are drawn to find out the position of any point in the
Cartesian plane are determined by x-axis and y-axis respectively.

**17. What do you understand by coordinates?*** *

**Sol. **The position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

**18. What is the position of a point X on a given figure below?**