Cartesian Plane & Coordinate Axes

Q.

Represent the following in number line

(a) square root of 3.5

(b) square root of 10.5

Q.

Define axis.

Q.

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

1. 2 units

2. 5 units

3. 1 unit

4. 3 units

Q.

Write the name of the point where x-axis and y-axis intersect.

Q.

The coordinates in which abscissa and ordinate have same signs will lie in which quadrants?

1. I and II quadrants

2. II and III quadrants

3. I and III quadrants

4. II and IV quadrants

Q.

The measure of the angle between the coordinate axes is

1. $0^{\circ }$

2. ${90}^{\circ }$

3. ${180}^{\circ }$

4. ${360}^{\circ }$

Q.

How to represent 4.5 on number line

Q.

The ___ co-ordinate is the perpendicular distance of the point from the x-axis.

Q. Define number line.

Q.

If the area of the triangle with vertices $(x,0),(1,1)$ and $(0,2)$ is $4$ square units, then the value of $x$ is:

1. $-2$

2. $-4$

3. $-6$

4. $8$

Q. Locate root 41 on the number line

Q.

Which of the following points lie on the negative side of x-axis?

1. (–3, 0)

2. (0, –4)

3. (4, 0)

4. (5, –7)

Q.

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

1. 1 unit

2. 5 units

3. -5 units

4. 6 units

Q.

Plot the following points on a graph paper: [4 MARKS]

(a) (3, 4)

(b) (-2, 3)

(c) (-1, -2)

(d) (5, -1)

Q.

Write the distance of point $p(2,-1)$ from the $y$- axis.

Q. A straight line divides the plane into _____ parts

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

Q.

The point of intersection of X and Y axes is known as

1. Point of intersection

2. Centre

3. Origin

4. Mid-point

Q.

How many dimensions are there?

Q.

The point of intersect of the co-ordinate axes is

1. ordinate

2. abscissa

3. quadrant

4. origin

Q.

In the _____ quadrant, the abscissa of the point is negative.

1. II and III both

2. IV

3. II

4. I

Q.

The coordinate of a point (-x, y) lies in the

1. First quadrant

2. Second quadrant

3. Fourth quadrant

4. Third quadrant

Q.

The reference point in the Cartesian System from which the distances are marked is called the __.

Q. If AB is a Diameter of the circle whose centre is (2, -3) and B is (1, 4), then the coordinates of A is

1. 
   (10, -3)
2. 
   (3, 10)
3. 
   (-3, 10)
4. 
   (3, -10)

Q. What do you mean by ordinate of a point?

Q.

Coordinates of the origin are (a, b). Then, the value of ab is ___.

Q.

Cartesian plane consists of two fixed perpendicularly intersecting lines to represent the position of a point on a plane. What are the horizontal and vertical lines, respectively known as?

1. X- axis and Y-axis

2. Y-axis and X- axis

3. Both A and B

4. None of these

Q. For three points, X, Y and Z, to be collinear, which of these conditions should be true? Select all that apply.

1. 
   $XY+YZ=XZ$
2. 
   $XY+YZ>XZ$
3. 
   $XZ-YZ>XY$
4. 
   $XZ+YZ=XY$

Q. Represent 10.5 on a number line

Q.

The coordinates of the vertices of a rectangle are $\left(-3,5\right),\left(0,-4\right),\left(3,7\right)$ and $\left(6,-2\right).$ How do you find the area of this figure?

Q.

Consider a seating plan of students in an auditorium. Push all the seats together and represent each seat with a square. Each square describe the position of each student with two independent information

a) The row in which he/she sits.

b) The column in which he/she sits.

Now if the student 'A' is sitting in the third row and the fifth column, find the position of his friend sitting two columns away(to A's right-hand side).

1. It cannot be determined

2. It can be determined on a single number line

3. It requires two number lines

4. I do not know