Cartesian Plane and Coordinate Axes

Q. Locate root 17 on number line

Q.

The reflection of point (-7, -9) through Y axis would be___

1. (-7, 9)

2. (7, 9)

3. (-9, -7)

4. (7, -9)

Q.

Which of the following points lies on the x-axis ?

1. (2, -2)

2. (1, 1)

3. (0, 1)

4. (3, 0)

Q. Find the circumcentre of the triangle whose vertices are (-2, -3), -1, 0) and (7, -6). Also find the radius of the circumcircle.

Q. The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.
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Q.

Area of a square is 49 cm². Find its perimeter.

1. 30 cm

2. 14 cm

3. 28 cm

4. 35 cm

Q.

The perpendicular distance of a point from y-axis measured along x-axis is known as

1. Ordinate.

2. Abscissa.

3. X- coordinate

4. Y- coordinate.

Which of the above options is/are correct?

1. 1 only

2. 1, 4 only

3. 2 only

4. 2, 3 only

Q. A wire is in the shape of a square of size 10cm. If the wire is rebent in a rectangle of length 15cm, what is the breadth of the rectangle? Which encloses more area, a square or a rectangle?

Q.

The perimeter of a square is 28 cm. Find the length of its diagonal.

Q.

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

1. 1^st

2. 2^nd

3. 3^rd

4. 4^th

Q.

The points (other than origin) for which abscissa is equal to the ordinate will lie in which quadrant/s?

1. I quadrant only

2. I and II quadrants

3. I and III quadrants

4. II and IV quadrants

Q.

The abscissa of a point is its distance from the

(a) origin

(b) x - axis

(c) y - axis

(d) none of these

Q.

A point whose y - coordinate is zero and x - coordinate is 5 will lie on the y-axis.

1. False

2. True

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

1. (-5, 0)
2. (0, 5)
3. (-5, 3)
4. (3, -5)

Q.

The coordinates of the origin are $\left(0,0\right)$. State whether the statement is true (T) or false (F).

Q. If a point is taken on y-axis, x-coordinate of this point is ___.

1. 3
2. 5
3. 0
4. 4

Q.

The side of a square with perimeter 70 m is:

1. 280 m

2. 16 m

3. 17.5 m

4. 17 m

Q.

A point P lies only on the X-axis. Which of the following represents the coordinates of point P?

1. (0, 0)

2. (x, 0)

3. (0, x)

4. (0, y)

Q.

State three precautions that should be taken for plotting points on a graph.

Q. The X-coordinate of a point is also called as

1. ordinate
2. abscissa
3. mid point
4. centre

Q.

The area of the square field is 8464m^2. A man takes 3 rounds of this field. Find the distance covered by him.

Q.

If a unit on the number line is divided into 2 equal parts and let each part be called a smaller unit, then the distance between 2 and its reciprocal, in terms of smaller units is

1. 3

2. 4

3. 1

4. 2

Q.

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

1. x is positive and y is negative

2. x is negative and y is positive

3. x and y both are negative

4. x and y both are positive

Q. Mrs. Sinha purchased a plot of perimeter 2400 m the breadth of the plot is half the length of the plot she decided to established a square shaped school for poor people of perimeter 240 m

Ques. Calculate the side of the square plot for the school

Q.

The points (-2, 0), (3, 0) and (-6, 0) lie ______.

1. in the IV quadrant

2. on the X-axis

3. on the Y-axis

4. in the I quadrant

Q.

Suppose the area of a square field is 7396 m². Find its perimeter.

Q. The origin is represented as in the Cartesian coordinate system.

1. (1, 1)
2. (0, 0)
3. $(x,y)$
4. (-1, -1)

Q.

A point, both of whose coordinates are negative lie in which quadrant?

1. II quadrant

2. I quadrant

3. III quadrant

4. IV quadrant

Q.

A point whose y-coordinate is zero and x-coordinate is 9 will lie on x -axis.

1. True

2. False

Q.

In which quadrant would the coordinates of any point have their abscissa and ordinates with the same signs?

1. I and II quadrants

2. II and III quadrants

3. I and III quadrants

4. II and IV quadrants