# Free Coordinate Geometry 02 Practice Test - 9th Grade

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

A.

5

B.

7

C.

12

D.

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.

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?

A.

P(5, 4)

B.

P(4, 5)

C.

P(5, 5)

D.

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).

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

A.

1st

B.

2nd

C.

3rd

D.

4th

#### SOLUTION

Solution : D

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

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

A.

(2,4)

B.

(-2,4)

C.

(4,1)

D.

(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).

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? A.

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

B.

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

C.

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

D.

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).

The two axes divide the Cartesian plane into __ quadrants.

#### 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.

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.

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.

A.

True

B.

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.

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

A.

True

B.

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.

Which of the points lie in the IV quadrant?

A.

(-2, -4)

B.

(-2, 3)

C. (2, -4)
D. (0.2, -100 )

#### 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).