# Co Ordinate Geometry - Problems and Solutions

1.

In which quadrant does the point(-4, -7) lie?

A.) 1st
B.) 2nd
C.) 3rd
D.) 4th

The point (-4, -7) lies in 3rd quadrant.

2.

In which quadrant does the point(1, 5) lie?

A.) 1st
B.) 2nd
C.) 3rd
D.) 4th

The point (1, 5) lies in 1st quadrant.

3.

In which quadrant does the point(9, -2) lie?

A.) 1st
B.) 2nd
C.) 3rd
D.) 4th

The point (9, -2) lies in 4th quadrant.

4.

In which quadrant does the point(-7, 6) lie?

A.) 1st
B.) 2nd
C.) 3rd
D.) 4th

The point (-7, 6) lies in 2nd quadrant.

5.

In which quadrant does the point(0, 9) lie?

A.) x-axis
B.) y-axis
C.) 3rd
D.) None of these

The point (0, 9) lies in x-axis.

6.

In which quadrant does the point(9, 0) lie?

A.) x-axis
B.) y-axis
C.) 4th
D.) None of these

The point (9, 0) lies in y-axis.

7.

Find the distance of the point A(4, -4) from the origin.

A.) 3√2
B.) 2√8
C.) 6√2
D.) 8√2

OA = √42+(-4)2 = √16+16 = √32 = 8√2

8.

Find the distance of the point A(3, -3) from the origin.

A.) 3√2
B.) 3√6
C.) 6√2
D.) 7√2

OA = √32+(-3)2 = √9+9 = √18 = 3√2

9.

P is a point on x-axis at a distance of 4 units from y-axis to its right. The co-ordinates of P are:

A.) (4, 0)
B.) (0, 4)
C.) (4, 4)
D.) (-4, 4)

The co-ordinates of P are A(4, 0)

10.

A is a point on y-axis at a distance of 5 units from x-axis lying below x-axis. The co-ordinates of A are:

A.) (5, 0)
B.) (-5, 0)
C.) (0, 5)
D.) (0, -5)