Coordinate Geometry Test

Result

Coordinate Geometry Test - 32

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Question 1
1 / -0

The point $$\left( 3,4 \right) $$ is at a distance of _________ from $$y$$-axis.

A
$$2$$ units

B
$$3$$ units

C
$$5$$ units

D
$$1$$ unit

Solution

We know, in the $$xy$$-plane, any point is of the form $$(x,y)$$, where $$x,y$$ can be any non-zero number.

Here, the $$x$$-coordinate or the abscissa is the perpendicular distance of the point from the $$y$$-axis.

Also, the $$y$$-coordinate or the ordinate is the perpendicular distance of the point from the $$x$$-axis.

Here, the point is $$(3,4)$$ and the abscissa is $$3$$.
Hence, the given point is at a distance of $$3$$ units from $$y$$-axis.

Therefore, option $$B$$ is correct.
Question 2
1 / -0

If the co-ordinates of the point $$P$$ are $$(3, -5)$$, find the perpendicular distance of $$P$$ from the $$y$$-axis with proper $$'+'$$ or $$'-'$$ sign prefixed.

A
$$-5$$

B
$$5$$

C
$$3$$

D
$$-3$$

Solution

Given, the point $$P(3,-5)$$.

We know, in the $$xy$$-plane, any point is of the form $$(x,y)$$, where $$x,y$$ can be any number.
The $$x$$-coordinate or the abscissa is the perpendicular distance of $$P$$ from the $$y$$-axis.
Also, the $$y$$-coordinate or the ordinate is the perpendicular distance of $$P$$ from the $$x$$-axis.
Here, $$3$$ is the abscissa which is the perpendicular distance of $$P$$ from the $$y$$-axis.
Hence, option $$C$$ is correct.
Question 3
1 / -0

In which of the quadrant, point $$(-7, -6)$$ will lie?

A
$$Q_3$$

B
$$Q_4$$

C
$$Q_2$$

D
$$Q_1$$

Solution

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
$$ (-7,-6)$$ has $$X=-7,$$ negative and $$Y=-6$$, negative
$$\therefore$$ The point lies in the third quadrant.
Question 4
1 / -0

Write the following based on the graph.
The abscissa of M

A
$$-3$$

B
$$3$$

C
$$7$$

D
None of these

Solution

As we can see that the dotted lines cut the x axis at $$- 3$$. So, the abscissa point $$M(-3,7)$$ is $$-3$$.
Question 5
1 / -0

Write the quadrant in which the following point lie
$$(4, 2)$$

A
$$Q_1$$

B
$$Q_2$$

C
$$Q_3$$

D
$$Q_4$$

Solution

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

$$ (4,2)$$ has $$ X=4$$, positive and $$Y=2$$, Positive

$$\therefore$$ The point lies in the first quadrant.
Question 6
1 / -0

Find the quadrant or axis in/on which the following point lies.
$$(-5, 7)$$

A
$$I$$

B
$$II$$

C
$$III$$

D
None of these

Solution

Let point $$A(x,y)=(-5,7)$$.

Since $$x$$ is negative and $$y$$ is positive, $$A$$ lies in the $$II$$ quadrant.
Question 7
1 / -0

Find the quadrant or axis on/in which the following point lies.
$$(1, 4)$$

A
$$I$$

B
$$II$$

C
$$IIII$$

D
None of these

Solution

Let point $$A(x,y)=(1,4)$$.
since both $$x$$ and $$y$$ are positive, so $$A$$ lies on $$I$$ quadrant.
Question 8
1 / -0

Find the quadrant or axis on/in which following point lies.
$$(-8, -1)$$

A
$$I$$

B
$$II$$

C
$$III$$

D
None of these

Solution

Let point $$A(x,y)=(-8,-1)$$.
since both $$x$$ and $$y$$ are negative, so $$A$$ lies on $$III$$ quadrant.
Question 9
1 / -0

The point (-2, 7) lies in the quadrant

A
I

B
II

C
III

D
IV
Question 10
1 / -0

The point (x, 0) where x < 0 lies on

A
OX

B
OY

C
OX'

D
OY'

Solution