# Free Coordinate Geometry 02 Practice Test - 9th Grade

### Question 1

What is the perpendicular distance of the point Q (5,7) from y-axis?

5

7

12

Cannot be determined

#### SOLUTION

Solution :A

The perpendicular distance of a point from y-axis measured along the positive x-axis is abscissa of the point. So, the perpendicular distance of the point Q(5,7) is 5 units from the y-axis.

### Question 2

The perpendicular distance of a point P from the X-axis is 4 units and from the Y-axis is 5 units (in the positive direction). What are the coordinates of point P?

P(5, 4)

P(4, 5)

P(5, 5)

P(4, 4)

#### SOLUTION

Solution :A

The perpendicular distance of the point from the Y-axis measured along the positive X-axis is called the abscissa of the point.

The perpendicular distance of the point from the X-axis measured along the positive Y-axis is ordinate of the point.

The point is P (5,4).

### Question 3

Point (3,-2) lies in ___ Quadrant.

1^{st}

2^{nd}

3^{rd}

4^{th}

#### SOLUTION

Solution :D

Abscissa of the given point is positive and ordinate is negative. So, the point lies in 4

^{th}quadrant.

### Question 4

If point 0 represents the origin (0,0), then coordinates of point J shown below is _____ .

(2,4)

(-2,4)

(4,1)

(4,-1)

#### SOLUTION

Solution :B

Point J lies in the second quadrant. So signs of coordinates will be (-,+) .

Distance of J from x axis is 4 hence ordinate is +4. Distance of J from y axis is 2 hence abscissa is -2.

Therefore, coordinates of J are (-2, 4).

### Question 5

An ant moves 3 units along the positive direction of the X-axis from the origin and reaches a point P, then moves 4 units from P along the negative direction of the Y-axis and reaches a point Q. What are the coordinates of points P and Q?

P(3, 0); Q(3, -4)

P(0, 3); Q(3, 4)

P(0, 3); Q(4, -3)

P(-3, 0); Q(-3, 4)

#### SOLUTION

Solution :A

Since the ant is moving 3 units along the positive direction of x-axis from the origin, the coordinate of point P is (3, 0) and then ant moves 4 units along the negative direction of y-axis the coordinates of point Q is (3, -4).

### Question 6

The two axes divide the Cartesian plane into

#### SOLUTION

Solution :The two axes i.e. x-axis and y-axis divide the Cartesian plane into four quadrants i.e. First Quadrant, Second Quadrant, Third Quadrant and Fourth Quadrant.

### Question 7

The reference point in the Cartesian System from which the distances are marked is called the

#### SOLUTION

Solution :The reference point in Cartesian System from which the distances are marked is called the Origin.

### Question 8

The perpendicular distance of a point P from y-axis measured along the positive x-axis is 4 units. Then the ordinate of P is 4.

True

False

#### SOLUTION

Solution :B

Any point on the coordinate plane is represented as (abscissa, ordinate). The abscissa is measured from y-axis along the x-axis direction and the ordinate is measured from x-axis along the y-axis direction. If the perpendicular distance of a point P from y-axis measured along the positive x-axis is 4 units. Therefore, the abscissa of P is 4.

### Question 9

Pavan says that the point P (5, 6) is same as the point Q (6, 5). Is he correct?

True

False

#### SOLUTION

Solution :B

Two points are same only if their abscissae and the ordinates of both the points are equal. Abscissa of point P is 5 and the abscissa of point Q is 6. Since the abscissae of both the points is not the same the points P and Q are not the same.

### Question 10

Which of the points lie in the IV quadrant?

(-2, -4)

(-2, 3)

#### SOLUTION

Solution :C and D

The points with positive abscissa (x-coordinate) and negative ordinate (y-coordinate) values lie in the IV quadrant. For example (-2, 5).