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This mock test of Test: Cartesian Plane for Class 9 helps you for every Class 9 entrance exam.
This contains 15 Multiple Choice Questions for Class 9 Test: Cartesian Plane (mcq) to study with solutions a complete question bank.
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QUESTION: 1

If the abscissa of a point is y and the ordinate is x then the coordinates of the point are ……..

Solution:

QUESTION: 2

The distance of a point (-5, 6) from the y- axis is

Solution:

the **distance** of the **point** (-**5**, **6**) from **y**- **axis** is **-5** units.

In general, the **distance** of the **point** (**x**,**y**) from **x**-**axis** is **y** and from **y**-**axis** is **x**.

QUESTION: 3

If (2, 2p + 2) is the mid-point of (3p, 4) and (-2, 2q), then the value of p and q are

Solution:

we have,

2 = (3p - 2)/2 and 2p + 2 = (2q + 4)/2

3p = 6 and 2p = q

p = 2

and q = 2p = 4

QUESTION: 4

Point P(x,y) is a point in the third quadrant of the Cartesian plane. Then

Solution:

QUESTION: 5

The abscissa or x-coordinate of any point on Y-axis is:

Solution:

QUESTION: 6

The point whose abscissa is -3 and lies on x-axis is.

Solution:

QUESTION: 7

The distance of a point (2, 3) from the x- axis is

Solution:

"The distance between the origin and the coordinates (2, 3) is

Square root of (2 – 0)^2 + (3 – 0)^2

Square root of 2^2 + 3^2

Square root of 4 + 9

Square root of 25

Hence 5 will be the total distance between the coordinates and origin.

In case of x-axis we will only consider the value of y coordinate that is 3.

QUESTION: 8

If x = y then (x, y) = (y, x)

Solution:

QUESTION: 9

For a line whose equation is 2x + y = 5, which one of the following points lies on it ?

Solution:

Option C is correct answer.

For the given point (2,1)

x = 2 and y = 1

Putting value in 2x + y = 5

2 (2) +1 = 5

5 = 5

So point (2,1) lies on the line 2x + y = 5

QUESTION: 10

The distance of a point (2, 3) from the y – axis is.

Solution:

The distance of a point from the y -axis is always the value of it's x-coordinate

That is , the distance of point p(2,3 ) from y axis is 2 units.

QUESTION: 11

Which of the following statement is TRUE ?

Solution:

QUESTION: 12

The coordinates of the origin are ………..

Solution:

QUESTION: 13

The perpendicular distance of a point Q(4, 7) from y-axis is

Solution:

Distance of point from y-axis is x -coordinate of given point,

So,since,value of x-coordinate is 4

so, distance = 4 unit

QUESTION: 14

The coordinates of a point on the y- axis of the form are …….

Solution:

This is because if it will be not 0 at then the point will fall somewhre else on the graph instead of y- axis.So the co-ordinatemust be (0,Y) to fall on y- axis.

QUESTION: 15

If x = y then (x,y) = (y,x).

Solution:

Suppose x=5

So, y=5

Then, (5,5)=(5,5)

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