Coordinate System and Graphs — Multiple Choice Questions

Point (-2, 7) lies in the

1. first quadrant

2. second quadrant

3. third quadrant

4. fourth quadrant

Answer

In the point (-2, 7), the abscissa is -2, which is negative, and the ordinate is 7, which is positive.

The abscissa is negative and the ordinate is positive in the second quadrant.

Hence, option 2 is the correct option.

Point (0, -3) lies

1. on the x-axis

2. in the second quadrant

3. on the y-axis

4. in the fourth quadrant

Answer

In the point (0, -3), the abscissa is zero.

We know that the abscissa of every point lying on the y-axis is zero.

So, the point (0, -3) lies on the y-axis at a distance of 3 units below the origin.

Hence, option 3 is the correct option.

Point (-10, 0) lies

1. on the negative direction of x-axis

2. in the third quadrant

3. on the negative direction of y-axis

4. in the fourth quadrant

Answer

In the point (-10, 0), the ordinate is zero, so the point lies on the x-axis.

Also, the abscissa is -10, which is negative, so the point lies to the left of the origin.

So, the point (-10, 0) lies on the negative direction of the x-axis.

Hence, option 1 is the correct option.

Signs of abscissa and ordinate of a point in the second quadrant are respectively

1. +, +

2. -, -

3. -, +

4. +, -

Answer

In the second quadrant, a point lies to the left of the origin and above it.

So, its abscissa is negative and its ordinate is positive.

Hence, option 3 is the correct option.

Abscissa of a point is positive in

1. I and II quadrants

2. I and IV quadrants

3. I quadrant only

4. II quadrant only

Answer

The abscissa of a point is positive when it is measured to the right of the origin.

The points lying to the right of the origin are those in the first quadrant and in the fourth quadrant.

Hence, option 2 is the correct option.

Which of the following points lies in the IVth quadrant?

1. (-2, 0)

2. (-3, 2)

3. (4, -7)

4. (-3, -5)

Answer

In the fourth quadrant, the abscissa of a point is positive and its ordinate is negative.

Among the given points, only the point (4, -7) has a positive abscissa and a negative ordinate.

Hence, option 3 is the correct option.

Which of the following points lies on the y-axis?

1. (0, -7)

2. (-7, 0)

3. (2.7, 0)

4. (-1, 3)

Answer

The abscissa of every point lying on the y-axis is zero.

Among the given points, only the point (0, -7) has its abscissa equal to zero.

Hence, option 1 is the correct option.

The points (-3, 4) and (4, -3) lie in

1. same quadrant

2. II and III quadrants respectively

3. II and IV quadrants respectively

4. IV and II quadrants respectively

Answer

In the point (-3, 4), the abscissa is negative and the ordinate is positive, so it lies in the second quadrant.

In the point (4, -3), the abscissa is positive and the ordinate is negative, so it lies in the fourth quadrant.

So, the given points lie in the II and IV quadrants respectively.

Hence, option 3 is the correct option.