Question 5: In Which quadrant or on which axis do these points lie?

I. (3, -5)

II. (-6, 0)

III. (-5, 8)

IV. (0, √3)

online.maxtute.com

The table given below provides details about the signs of the abscissa (x-coordinate) and ordinate (y-coordinate) in the four quadrants in the x-y plane.

Quadrant | Abscissa x-coordinate | Ordinate y-coordinate |
---|---|---|

I Quadrant | + | + |

II Quadrant | (-) | + |

III Quadrant | (-) | (-) |

IV Quadrant | + | (-) |

**(i) (3,-5) **

The abscissa ((x – cordinate) is positive and ordinate (y – coordinate) is negative.

Therefore, (3, -5) lies in the fourth quadrant.

**(ii) (-6, 0) **

The ordinate (y – coordinate) is zero. The abscissa (x – coordinate) is not zero.

If the ordinate is zero, the point lies on the x-axis. Therefore (-6, 0) lies on the x – axis.

Because, its abscissa is negative, it lies to the left of the origin.

**(iii) (-5, 8) **

Abscissa (x – cordinate) is negative and ordinate (y – coordinate) is positive.

So, (-5, 8) lies in the second qudrant.

**(iv) (0, √3) **

The abscissa (x – coordinate) is zero. The ordinate (y – coordinate) is positive.

If the abscissa is zero, the point lies on the y-axis.

Because, its ordinate is positve, the point lies above the origin.

So, (0, √3) lies on the y – axis above the orgin.

Class 9 Maths

Register in 2 easy steps and

Start learning in 5 minutes!

Copyrights © 2016 - 20 All Rights Reserved by Maxtute.com - An Ascent Education Initiative.

Privacy Policy | Terms & Conditions

**Phone:** (91) 44 4500 8484

**Mobile:** (91) 93822 48484

**WhatsApp:** WhatsApp Now

**Email:** learn@maxtute.com