Tag: plotting and reading points on a coordinate plane

Questions Related to plotting and reading points on a coordinate plane

Write the quadrant in which the following point lie
$(5, -3)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. $Q _4$

  2. $Q _3$

  3. $Q _2$

  4. $Q _1$

Show answer
Correct Option: A
Explanation:
First quadrant        X=positive    and  Y=positive

Second quadrant  X=negative   and  Y=positive

Third quadrant      X=negative    and  Y=negative

Fourth quadrant    X=positive     and  Y=negative

$ (5,-3)$ has $X=5$, positive and $Y=3$,negative

$\therefore$ The point lies in the fourth quadrant.

Write the abscissa and ordinate of the following point.
$(0, 0)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. abscissa : $0$
    ordinate : $0$

  2. abscissa : $4$
    ordinate : $0$

  3. abscissa : $0$
    ordinate : $4$

  4. None of these

Show answer
Correct Option: A
Explanation:
The given point is $(0,0)$
The abscissa of given point is $0$
The ordinate of given point is $0$

Write the abscissa and ordinate of the following point.
$(0, -8)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. abscissa : $0$
    ordinate : $-8$

  2. abscissa : $9$
    ordinate : $-8$

  3. abscissa : $-8$
    ordinate : $0$

  4. None of these

Show answer
Correct Option: A
Explanation:
The given point is $(0,-8)$
The abscissa of given point is $0$
The ordinate of given point is $-8$

Write the abscissa and ordinate of the following point.
$(5, 0)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. abscissa : $5$
    ordinate : $0$

  2. abscissa : $0$
    ordinate : $5$

  3. abscissa : $0$
    ordinate : $0$

  4. None of these

Show answer
Correct Option: A
Explanation:
The given point is $(5,0)$
The abscissa of given point is $5$
The ordinate of given point is $0$

State true or false
The positions of $(5, -8)$ and $(-8, 5)$ is same

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. True

  2. False

Show answer
Correct Option: B
Explanation:
The positions of $(5,-8) $ and $(-8,5) $ are not same as the abscissa and ordinate of both the points are not equal. Hence,the given statement is false.

Write down the ordinate of the following point.
$(7, -4)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. $-4$

  2. $4$

  3. $7$

  4. None of these

Show answer
Correct Option: A
Explanation:

Ordinate is the $y–coordinate$ of any point $A(x, y)$.
So, ordinate of point $(7, –4)$ is $–4$.

State whether TRUE or FALSE 
A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. True

  2. False

  3. Ambiguous

  4. Data insufficient

Show answer
Correct Option: A
Explanation:

$since\quad x \quad coordinate=0,\ \therefore \quad point\quad lies\quad on\quad y\quad axis$

State the following statement is True or False
The coordinates of the origin are $(0, 0)$.

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Point of intersection of $x$ and $y$ axes is called origin.
Its co-ordinate is $(0,0)$.
Hence, option A is correct.

Sate true or false
Line joining them is parallel to Y axis
(i) $(4, 2)$
(ii) $(4, -5)$
(iii) $(4, 0)$
(iv) $(4, -2)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

All the points have $x-coordinate=4$.

so, all the points lie on line $x=4$, which is parallel to $y-axis$.
hence, the line joining the above points is parallel to $y-axis$.

State true or false
The abscissa of two points is $0$.Line joining them is Y axis

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Given abscissa of two points is $0$.

let's assume the points as $(0,a)$ and $(0,b)$.
line joining these two points is given by $x=0$, which is $y-axis$.