Coordinate Geometry Test

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Coordinate Geometry Test - 9

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Weekly Quiz Competition

Question 1
1 / -0

Ordinate of all points on the x-axis is

A
0

B
1

C
any number

D
2

Solution

In cartesian plane any point P is written as P(x,y)

when the value of Y co-ordinate is equal to zero then the point P lies on x axis

So,For any point on x-axis , ordinate = 0
Question 2
1 / -0

Ordinate of all points on the y-axis is

A
0

B
any number

C
-1

D
1

Solution

In the cartesian plane any point P is written as p(x, y)

when the value of x co-ordinate is equal to zero then the point P lies on y axis,

So,Ordinate of any point on y-axis can be any number but abscissa will be zero
Question 3
1 / -0

Points (2, -3), (4, -5), (5, -9) and (-2, -5)

A
lie on the axes

B
does not lie in same quadrant

C
lie in the IV quadrant

D
lie in the I quadrant

Solution

Point (2,—3),(4,—5),(5,—9) lies in 4th quadrant, because sign of abscissa and ordinate in 4th quadrant is (+,—),

But point (—2,—5) lies in 3rd quadrant since,sign of abscissa and ordinate in 3rd quadrant is (—,—)
Question 4
1 / -0

If O(0,0), A(3,0), B(3,4) and C(0,4) are the vertices of a quadrilateral OABC, then OABC is:

A
square

B
rectangle

C
rhombus

D
trapezium

Solution

As O(0,0) and A(3,0)

So, Length of side OA = 3 units

As A(3,0) and B(3,4)

So, Length of side AB = 4 units

As O(0,0) and C(0,4)

So, Length of side OC = 4 units

As B(3,4) and C(0,4)

So, Length of side BC = 3 units

as As O(0,0) and B(3,4)

So, Length of diagonal OB = 5 units

As A(3,0) and C(0,4)

So, Length of diagonal AC = 5 units

in a quardilateral opposite sides are equal and diagonals are also equal then itis a rectangle.

Therefore, OABC is rectangle.
Question 5
1 / -0

If the y co-ordinate of a point is zero, then this point always lies:

A
on x-axis

B
on y-axis

C
in quadrant II

D
in quadrant I

Solution

The value of y-coordinate or ordinate of point is zero at any point on x-axis,

Thus, for point which lie on x-axis value of its y-coordinate must be equal to zero.
Question 6
1 / -0

If the x co-ordinate of a point is zero, then this point always lies:

A
on x-axis

B
in quadrant III

C
on y-axis

D
in quadrant IV

Solution

If the x co-ordinate of a point is zero, then this point always lies on y-axis.
Question 7
1 / -0

The point whose ordinate is 6 and which point lies on the y-axis ?

A
(6, 0)

B
(0, 6)

C
none of these

D
(6, 6)

Solution

Since the ordinate or y-corrdinate of a point is 6 and this point lies on y-axis.

And the abscissa or x-corrdinate of a point lying on y-axis is 0.
Therefore, the coordinate of the point is (0,6).
Question 8
1 / -0

The point whose abscissa is 4 and this point lies on the x-axis is:

A
(0, 4)

B
(4, 4)

C
none of these

D
(4, 0)

Solution

Since the abscissa or x-corrdinate of a point is 4 and this point lies on x-axis. And the ordinate or y-corrdinate of a point lying on x-axis is 0.
Therefore the coordinate of the point is (4,0).
Question 9
1 / -0

If P(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the points on the x-axis are

A
Q and O

B
P and Q

C
Q only

D
R and S

Solution

Co-ordinate of any point on x-axis is (x ,0)

And, we have point O and point Q with such co-ordinate so point O and Q will lie on x-axis.
Question 10
1 / -0

The point which lies on y-axis at a distance of 3 units in the negative direction of y-axis is

A
(3, 0)

B
(-3, 0)

C
(0, -3)

D
(0, 3)

Solution

Since ,it lies 3unit in the negative Direction of y-axis so its ordinate will be -3 and it also lies on y-axis so,it's abscissa will be zero ,because x-coordinate of any point on y-axis is zero.

Thus,point will be (0,—3)

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Coordinate Geometry Test - 9

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Coordinate Geometry Test - 9

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Question 1

0

1

any number

2

Solution

Question 2

0

any number

-1

1

Solution

Question 3

lie on the axes

does not lie in same quadrant

lie in the IV quadrant

lie in the I quadrant

Solution

Question 4

square

rectangle

rhombus

trapezium

Solution

Question 5

on x-axis

on y-axis

in quadrant II

in quadrant I

Solution

Question 6

on x-axis

in quadrant III

on y-axis

in quadrant IV

Solution

Question 7

(6, 0)

(0, 6)

none of these

(6, 6)

Solution

Question 8

(0, 4)

(4, 4)

none of these

(4, 0)

Solution

Question 9

Q and O

P and Q

Q only

R and S

Solution

Question 10

(3, 0)

(-3, 0)

(0, -3)

(0, 3)

Solution

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