Representation of Point on the Plane

Q.

Who is the father of coordinate geometry?

Q. Question 5
The point (3, 4) is at a distance of
(a) 3 from both the axes
(b) 4 from both the axes
(c) 4 from the X-axis and 3 from the Y-axis
(d) 3 from the X-axis and from the Y-axis

Q. Question 6
A point which lies on both the axes is
(a) (0, 0)
(b) (0, 1)
(c) (1, 0)
(d) (1, 1)

Q.

What is parameter ?

Q. The abscissa and ordinate of the origin are _____.

1. None of these
2. 0 and 0
3. -1 and -1
4. 1 and 1

Q. The point of intersection of the coordinate axes is _____.

1. Ordinate
2. Abscissa
3. Quadrant
4. Origin

Q.

State whether the given statement is true or false:

The y–coordinate is also called as the abscissa.

1. True

2. False

Q.

The weights of students in a college/school is a

1. Discrete Variable
2. Continuous Variable
3. Qualitative Variable
4. None of these

Q. A point whose y-coordinate is zero and x-coordinate is 5 will lie

1. on the x-axis
2. on the y-axis
3. above the x-axis
4. below the x-axis

Q.

$POQ$ is a straight line through of origin $O,P$ and $Q$ represent the complex numbers $a+ib$ and $c+id$ respectively and $OP=OQ$ , then

1. $\left|a+ib\right|=\left|c+id\right|$

2. $a+c=b+d$

3. $arg(a+ib)=arg(c+id)$

4. None of these

Q. Fill in the Blanks
Question 20
The X-coordinate of any point lying on the Y-axis will be ___.

Q. Question 3
Write the coordinates of the vertices of each of these adjoining figures.

Q. State whether the statements are True or False.
Question 34
The Y-coordinate of any point lying on the X-axis will be zero.

Q. Question 44
If Y-coordinate is 3 times X-coordinate, from a table for it and draw a graph.

Q. Question 1(ii)
Plot the following points on a graph sheet. Verify if they lie on a line
P(1, 1), Q(2, 2), R(3, 3), S(4, 4)

Q. Question 8
In the given figure, the position of the book on the table may be given by



(a) (7, 3)
(b) (3, 7)
(c) (3, 3)
(d) (7, 7)

Q.

Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the Points at which this line meets the x-axis and y-axis.

Q. Fill in the Blanks
Question 21
The Y-coordinate of the point (2, 4) is ___.

Q. what is the y-coordinate of any point on the x axis?

Q. Question 59
Locate the points A(1, 2), B(4, 2) and C(1, 4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.

Q.

Which of the following points lie on the graph of "y = x"?

1. (2, 2)

2. (2, 1)

3. (0, 1)

4. (1, 2)

Q. Question 41(ii)
Write the X-coordinate (abscissa) of the given point.
(5, 7)

Q. Question 43(iii)
Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.
(4, 2), (2, 4), (3, 3), (5, 4)

Q. Fill in the Blanks
Question 18
All points with Y-coordinates as zero lie on the ___.

Q.

X(6, 0), Y(-10, 0), Z (0, 0) are collinear.

1. True

2. False

Q.

A point $(2,4)$ is translated through a distance of $5$ units horizontally along positive x - axis. The new point is

1. $(2,9)$

2. $(-3,4)$

3. $(7,4)$

4. $(2,-1)$

Q.

(a) Draw the graph of the function A = $x^2$

(b) From the graph, find the value of A, when

(i) x = 2

(ii) x = 3

(iii) x = 4

Q. Question 4
In the given graph the letter that indicates the point (0, 3) is



(a) P
(b) Q
(c) R
(d) S

Q. Question 2(i)
Draw a graph for the following
$\begin{array}{cccccc}Sideofsquare\left(incm\right)& 2& 3& 3.5& 5& 6\\ Perimeter\left(incm\right)& 8& 12& 14& 20& 24\end{array}$
Is it linear graph?

Q.

The sides of a rectangular park are in the ratio 4:3. If the area is 1728 m², find the cost of fencing it at the rate of Rs. 2.50/m.