Plotting a Point on the Cartesian Plane

Q. Question 1
The distance of the point P(2, 3) from the x - axis is:
(A) 2
(B) 3
(C) 1
(D) 5

Q. Question 5
Without plotting the points indicate the quadrant in which they will lie if
i. the ordinate is 5 and abscissa is - 3.
ii. the abscissa is - 5 and ordinate is - 3.
iii. the abscissa is -5 and ordinate is 3.
iv. the ordinate is 5 and abscissa is 3.

Q.

Write the coordinates of a point which is at a distance of 3 units from the x-axis and 7 units from the y-axis.

Q. What will be the coordinates, if we start from (0, 0) on a rectangular coordinate system and move 5 units in the positive direction along the x-axis and then move 3 units in the positive direction along the y-axis?

1. (5, -3)
2. (-3, 5)
3. (3, 5)
4. (5, 3)

Q.

On a graph, draw a quadrilateral whose vertices are (1, 1), (2, 4), (6, 4) and (5, 1). Justify the quadrilateral.

Q. Question 19
In following figure, coordinate of P are


A) (-4 , 2)
B) (-2, 4)
C) (4, -2)
D) (2, -4)

Q.

Write the coordinates of a point

i) Below x- axis and on y-axis

ii) Mirror image of (5, 8) with respect to x- axis

Q. Which of the following graph correctly shows the plotting of point P (-x, y), where x and y > 0.

1. 
2. 
3. -
4. 

Q. Without plotting the given points on a graph paper indicate the quadrants in which they lie, it
(a) ordinate = 6, abscissa = −3
(b) ordinate = −6, abscissa = 4
(c) abscissa = −5, ordinate = −7
(d) ordinate = 3, abscissa = 5

Q.

The coordinates of the point whose ordinate is 4 and which lies on the y-axis are?

1. (4, 0)

2. (0, 4)

3. (1, 4)

4. (4, 2)

Q. Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the X-axis and one of the vertices lies in the third quadrant.
(3 marks)
[Plotting on a Graph]

Q. Assertion: The point P(−6, −4) lies in quadrant III.
Reason: The signs of points in quadrants I, II, III and IV are respectively (+, +), (−, +), (−, −) and (+, −).
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. The coordinates of a point 𝑩 on the 𝑦-axis are given as (𝟑𝒑+𝟏𝟐, 𝟐𝒑−𝟒). Find the coordinates of 𝑩.

Q.

The y co-ordinate of the point is called its _______ .

1. Coordinate

2. Origin

3. Ordinate

4. Abscissa

Q. Which of the following points will lie on y-axis?

1. (-4, 0)
2. (0, 4)
3. (4, 0)
4. (0, -4)

Q.

If we start at (0, 0) on a rectangular coordinate system and move 5 right and 3 up, where do we end up?

1. (-5, 3)

2. (5, 3)

3. (5, -3)

4. (-5, -3)

Q. Which point does not lie in any quadrant?
(a) (3, −6)
(b) (−3, 4)
(c) (5, 7)
(d) (0, 3)

Q.

14. in which quadrant , can a point have:

i) abscissa equal to its ordinate

ii) ordinate equal in magnitude to abscissa

iii) ordinate equal and opposite of abscissa

iv)abscissa twice that of the ordinate

Q. Which of the following statement is true?

1. (2, 3) lies in the II quadrant
2. (-2, 3) lies in the II quadrant
3. (2, -3) lies in the IV quadrant
4. (-2, -3) lies in the IV quadrant

Q. Write down the coordinates of each of the points A, B, C, D, E shown below:

Q. In which quadrant or on which axis do each of the points (−2, 4), (3, −1), (−1, 0), (−3, −5) and (0, −1) lie?

Q. In which quadrant does the point (-1, -299.5) lies?

1. Quadrant I
2. Quadrant I
3. Quadrant III
4. Quadrant I

Q. Pair the points.

1. (2, 3)
2. III quadrant
3. (0, 0)
4. origin
5. (-6, -9)
6. I quadrant
7. (0, 3)
8. (5, 0)
9. x-axis
10. y-axis

Q. The distance of a point from x-axis is 3 units and that from y-axis is 4 units. Find the coordinates of the point.

Q. (2, -3) lies in 2nd Quadrant

1. True
2. False

Q.

In which quadrant will the point lie, if the ordinate is 4 and the abscissa is –6?

Q. Match the coordinates with the quadrant in which they lie.

1. 1st Quadrant
2. 2nd Quadrant
3. 3rd Quadrant
4. 4th Quadrant

Q. Which of the following points will lie on the x-axis?

1. (0, -3)
2. (-3, 0)
3. (2, 0)
4. (0, 2)

Q. In which quadrant or on which axis will (x, y) lie? If:
(i) x > 0 and y < 0
(ii) x < 0 and y > 0
(iii) x > 0 and y > 0
(iv) x < 0 and y < 0
(v) x = 0 and y > 0
(vi) x < 0 and y = 0?

Q. (45, -45) lies in the second quadrant.

1. True
2. False