Coordinate Geometry Test

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Coordinate Geometry Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

Signs of the abscissa and ordinate of a point in the second quadrant are respectively

A
+, +

B
–, –

C
–, +

D
+, –

Solution

Signs of the abscissa and ordinate of a point in the second quadrant a –, +.
Question 2
1 / -0

Point (0, –7) lies

A
on the x –axis

B
in the second quadrant

C
on the y-axis

D
in the fourth quadrant

Solution

In point (0, -7) x-coordinate is zero, so it lies on Y-axis and y-coordinate is negative,

So, the point (0, – 7) lies on the Y-axis in the negative direction.
Question 3
1 / -0

Point (– 10, 0) lies

A
on the negative direction of the x-axis

B
on the negative direction of the y-axis

C
in the third quadrant

D
in the fourth quadrant

Solution

In point (-10, 0) y-coordinate is zero, so it lies on X-axis and its x-coordinate is negative, so the point (-10, 0) lies on the X-axis in the negative direction.
Question 4
1 / -0

Abscissa of all the points on the x-axis is

A
0

B
1

C
2

D
any number

Solution

Abscissa of all the points on the X-axis is any number because X-axis is a number line which contains many real numbers on it.
Question 5
1 / -0

Ordinate of all points on the x-axis is

A
0

B
1

C
-1

D
any number

Solution

Ordinate of all the points on the x-axis is 0.Because ordinate (or y-coordinate) of a point is perpendicular distance of this point from the x-axis measured along the y–axis.
Question 6
1 / -0

The point at which the two coordinate axes meet is called the

A
abscissa

B
ordinate

C
origin

D
quadrant

Solution

The points at which the two coordinate axes meet is called the origin.
Question 7
1 / -0

A point both of whose coordinates are negative will lie in

A
I quadrant

B
II quadrant

C
III quadrant

D
IV quadrant

Solution

A point both of whose coordinates are negative will lie in III quadrant because, in III quadrant x-coordinate and y-coordinate both are negative.
Question 8
1 / -0

Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4)

A
lie in II quadrant

B
lie in III quadrant

C
lie in IV quadrant

D
do not lie in the same quadrant

Solution

In points (1, -1), (2, -2) and (4, -5) x-coordinate is positive and y-coordinate is negative, So, they all lie in IV quadrant. In point (-3, – 4) x-coordinate is negative and y-coordinate is negative. So, it lies in III quadrant So, given points do not lie in the same quadrant.
Question 9
1 / -0

If y coordinate of a point is zero, then this point always lies

A
in I quadrant

B
in II quadrant

C
on x - axis

D
on y - axis

Solution

If y-coordinate of a point is zero, then this point always lies on X-axis. Because perpendicular distance of the point from X-axis measured along Y-axis is zero.
Question 10
1 / -0

The points (–5, 2) and (2, – 5) lie in the

A
same quadrant

B
II and III quadrants, respectively

C
II and IV quadrants, respectively

D
IV and II quadrants, respectively

Solution

In point (-5,2), x-coordinate is negative and y-coordinate is positive, so it lies in II quadrant and in point (2, – 5), x- coordinate is positive and y-coordinate is negative, so it lies in IV quadrant.
Question 11
1 / -0

If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has

A
x coordinate = – 5

B
y coordinate = 5 only

C
y coordinate = – 5 only

D
y coordinate = 5 or –5

Solution

We do know that perpendicular distance of a point from the X-axis Y-coordinate of that point. Here foot of perpendicular lies on the negative direction of X-axis, so perpendicular distance can be measure in II quadrant or III quadrant. Hence, the point P has y-coordinate = 5 or -5.
Question 12
1 / -0

If P (– 1, 1), Q (3, – 4), R(1, –1), S(–2, –3) and T (– 4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant are

A
P and T

B
Q and R

C
Only S

D
P and R

Solution

We know that quadrant IV consists of the all points (x, y) for which x is positive and y negative.So, the points in the fourth quadrants are Q (3, –4) and R (1, –1).
Question 13
1 / -0

If the coordinates of the two points are P (–2, 3) and Q(–3, 5), then (abscissa of P) – (abscissa of Q) is

A
-5

B
1

C
-1

D
-2

Solution

We have, points P(- 2, 3) and Q(- 3, 5)

Here, abscissa of Pi.e., x-coordinate of Pis -2 and abscissa of Q i.e., x-coordinate of Q is -3.

So, (Abscissa of P) – (Abscissa of Q) = – 2 – (-3) = -2 + 3 = 1.
Question 14
1 / -0

Abscissa of a point is positive in

A
I and II quadrants

B
I and IV quadrants

C
I quadrant only

D
II quadrant only

Solution

Abscissa of a point is positive in I and IV quadrants.
Question 15
1 / -0

The points whose abscissa and ordinate have different signs will lie in

A
I and II quadrants

B
II and III quadrants

C
I and III quadrants

D
II and IV quadrants

Solution

The points whose abscissa and ordinate have different sings will be of the from (–x, y) or (x ,–y) and these points will lie in II and IV quadrants.
Question 16
1 / -0

The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is

A
(0, 5)

B
(5, 0)

C
(0, – 5)

D
(– 5, 0)

Solution

Given the point lies on Y-axis this shows that this x-coordinate is zero. Also it is at a distance of 5 units in negative direction of Y-axis, so its y–coordinate is negative. Hence, the required point is (0, –5).
Question 17
1 / -0

The perpendicular distance of the point P (3, 4) from the y-axis is

A
3

B
4

C
5

D
7

Solution

We know that, abscissa or the x-coordinate of a point is its perpendicular distance from the Y-axis. So, perpendicular distance of the point P(3, 4)from Y-axis = Abscissa = 3.

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Coordinate Geometry Test - 16

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Question 1

+, +

–, –

–, +

+, –

Solution

Question 2

on the x –axis

in the second quadrant

on the y-axis

in the fourth quadrant

Solution

Question 3

on the negative direction of the x-axis

on the negative direction of the y-axis

in the third quadrant

in the fourth quadrant

Solution

Question 4

0

1

2

any number

Solution

Question 5

0

1

-1

any number

Solution

Question 6

abscissa

ordinate

origin

quadrant

Solution

Question 7

I quadrant

II quadrant

III quadrant

IV quadrant

Solution

Question 8

lie in II quadrant

lie in III quadrant

lie in IV quadrant

do not lie in the same quadrant

Solution

Question 9

in I quadrant

in II quadrant

on x - axis

on y - axis

Solution

Question 10

same quadrant

II and III quadrants, respectively

II and IV quadrants, respectively

IV and II quadrants, respectively

Solution

Question 11

x coordinate = – 5

y coordinate = 5 only

y coordinate = – 5 only

y coordinate = 5 or –5

Solution

Question 12

P and T

Q and R

Only S

P and R

Solution