Page 1
Q u e s t i o n : 8
In which quadrant does the point – 7, – 4
lie?
a
IV
b
II
c
III
d
None of these
S o l u t i o n :
Points of the type – , –
lie in the III quadrant.
The point – 7, – 4
lies in the III quadrant.
Hence, the correct option is c
.
Page 2
Q u e s t i o n : 8
In which quadrant does the point – 7, – 4
lie?
a
IV
b
II
c
III
d
None of these
S o l u t i o n :
Points of the type – , –
lie in the III quadrant.
The point – 7, – 4
lies in the III quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 9
If x > 0 and y < 0, then the point (x, y) lies in
a
I
b
III
c
II
d
IV
S o l u t i o n :
d
IV
?Explanation:
The points of the type +, -
lie in fourth quadrant.
Hence, the point (x,y), where x > 0 and y < 0, lies in quadrant IV.
Q u e s t i o n : 1 0
If a < 0 and b > 0, then the point (a, b) lies in quadrant
a
IV
b
II
c
III
d
none of these
S o l u t i o n :
Ans b
Explanation:
Points of the type -, +
lie in the second quadrant.
Hence, the point P(a,b), where a < 0 and b > 0, lie in quadrant II.
Q u e s t i o n : 1 1
A point both of whose coordinates are negative lies in
a
quadrant I
b
quadrant II
c
quadrant III
d
quadrant IV
S o l u t i o n :
c
quadrant III
?Explanation:
Page 3
Q u e s t i o n : 8
In which quadrant does the point – 7, – 4
lie?
a
IV
b
II
c
III
d
None of these
S o l u t i o n :
Points of the type – , –
lie in the III quadrant.
The point – 7, – 4
lies in the III quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 9
If x > 0 and y < 0, then the point (x, y) lies in
a
I
b
III
c
II
d
IV
S o l u t i o n :
d
IV
?Explanation:
The points of the type +, -
lie in fourth quadrant.
Hence, the point (x,y), where x > 0 and y < 0, lies in quadrant IV.
Q u e s t i o n : 1 0
If a < 0 and b > 0, then the point (a, b) lies in quadrant
a
IV
b
II
c
III
d
none of these
S o l u t i o n :
Ans b
Explanation:
Points of the type -, +
lie in the second quadrant.
Hence, the point P(a,b), where a < 0 and b > 0, lie in quadrant II.
Q u e s t i o n : 1 1
A point both of whose coordinates are negative lies in
a
quadrant I
b
quadrant II
c
quadrant III
d
quadrant IV
S o l u t i o n :
c
quadrant III
?Explanation:
Points of the type -, -
lie in the third quadrant.
Q u e s t i o n : 1 2
The points otherthanorigin
for which abscissa is equal to the ordinate will lie in the quadrant
a
I only
b
I or II
c
I or III
d
II or IV
S o l u t i o n :
c
I or III
?Explanation:
If abscissa = ordinate, there could be two possibilities.
Either both are positive or both are negative. So, a point could be either +, +
, which lie in quadrant I or it could be of the type -, -
, which lie in quadrant III.
Hence, the points otherthentheorigin
for which the abscissas are equal to the ordinates lie in quadrant I or III.
Q u e s t i o n : 1 3
The points – 5, 3
and 3, – 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
S o l u t i o n :
The point – 5, 3
lies in the II quadrant.
The point 3, – 5
lies in the IV quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 1 4
Points 1, – 1
, 2, – 2
, – 3, – 4
, 4, – 5
a
all lie in the II quadrant
Page 4
Q u e s t i o n : 8
In which quadrant does the point – 7, – 4
lie?
a
IV
b
II
c
III
d
None of these
S o l u t i o n :
Points of the type – , –
lie in the III quadrant.
The point – 7, – 4
lies in the III quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 9
If x > 0 and y < 0, then the point (x, y) lies in
a
I
b
III
c
II
d
IV
S o l u t i o n :
d
IV
?Explanation:
The points of the type +, -
lie in fourth quadrant.
Hence, the point (x,y), where x > 0 and y < 0, lies in quadrant IV.
Q u e s t i o n : 1 0
If a < 0 and b > 0, then the point (a, b) lies in quadrant
a
IV
b
II
c
III
d
none of these
S o l u t i o n :
Ans b
Explanation:
Points of the type -, +
lie in the second quadrant.
Hence, the point P(a,b), where a < 0 and b > 0, lie in quadrant II.
Q u e s t i o n : 1 1
A point both of whose coordinates are negative lies in
a
quadrant I
b
quadrant II
c
quadrant III
d
quadrant IV
S o l u t i o n :
c
quadrant III
?Explanation:
Points of the type -, -
lie in the third quadrant.
Q u e s t i o n : 1 2
The points otherthanorigin
for which abscissa is equal to the ordinate will lie in the quadrant
a
I only
b
I or II
c
I or III
d
II or IV
S o l u t i o n :
c
I or III
?Explanation:
If abscissa = ordinate, there could be two possibilities.
Either both are positive or both are negative. So, a point could be either +, +
, which lie in quadrant I or it could be of the type -, -
, which lie in quadrant III.
Hence, the points otherthentheorigin
for which the abscissas are equal to the ordinates lie in quadrant I or III.
Q u e s t i o n : 1 3
The points – 5, 3
and 3, – 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
S o l u t i o n :
The point – 5, 3
lies in the II quadrant.
The point 3, – 5
lies in the IV quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 1 4
Points 1, – 1
, 2, – 2
, – 3, – 4
, 4, – 5
a
all lie in the II quadrant
b
all lie in the III quadrant
c
all lie in the IV quadrant
d
do not lie in the same quadrant
S o l u t i o n :
The point 1, – 1
lies in the IV quadrant.
The point 2, – 2
lies in the IV quadrant.
The point – 3, – 4
lies in the III quadrant.
The point 4, – 5
lies in the IV quadrant.
Hence, the correct option is d
.
Q u e s t i o n : 1 5
Point 0, – 8
lies
a
in the II quadrant
b
in the IV quadrant
c
on the x-axis
d
on the y-axis
S o l u t i o n :
The abscissa of the point 0, – 8
is zero.
The point 0, – 8
lies on the y-axis.
Hence, the correct option is d
.
Q u e s t i o n : 1 6
Point – 7, 0
lies
a
on the negative direction of the x-axis
b
on the negative direction of the y-axis
c
in the III quadrant
d
in the IV quadrant
S o l u t i o n :
The point – 7, 0
lies on the negative direction of the x-axis.
Hence, the correct option is a
.
Page 5
Q u e s t i o n : 8
In which quadrant does the point – 7, – 4
lie?
a
IV
b
II
c
III
d
None of these
S o l u t i o n :
Points of the type – , –
lie in the III quadrant.
The point – 7, – 4
lies in the III quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 9
If x > 0 and y < 0, then the point (x, y) lies in
a
I
b
III
c
II
d
IV
S o l u t i o n :
d
IV
?Explanation:
The points of the type +, -
lie in fourth quadrant.
Hence, the point (x,y), where x > 0 and y < 0, lies in quadrant IV.
Q u e s t i o n : 1 0
If a < 0 and b > 0, then the point (a, b) lies in quadrant
a
IV
b
II
c
III
d
none of these
S o l u t i o n :
Ans b
Explanation:
Points of the type -, +
lie in the second quadrant.
Hence, the point P(a,b), where a < 0 and b > 0, lie in quadrant II.
Q u e s t i o n : 1 1
A point both of whose coordinates are negative lies in
a
quadrant I
b
quadrant II
c
quadrant III
d
quadrant IV
S o l u t i o n :
c
quadrant III
?Explanation:
Points of the type -, -
lie in the third quadrant.
Q u e s t i o n : 1 2
The points otherthanorigin
for which abscissa is equal to the ordinate will lie in the quadrant
a
I only
b
I or II
c
I or III
d
II or IV
S o l u t i o n :
c
I or III
?Explanation:
If abscissa = ordinate, there could be two possibilities.
Either both are positive or both are negative. So, a point could be either +, +
, which lie in quadrant I or it could be of the type -, -
, which lie in quadrant III.
Hence, the points otherthentheorigin
for which the abscissas are equal to the ordinates lie in quadrant I or III.
Q u e s t i o n : 1 3
The points – 5, 3
and 3, – 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
S o l u t i o n :
The point – 5, 3
lies in the II quadrant.
The point 3, – 5
lies in the IV quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 1 4
Points 1, – 1
, 2, – 2
, – 3, – 4
, 4, – 5
a
all lie in the II quadrant
b
all lie in the III quadrant
c
all lie in the IV quadrant
d
do not lie in the same quadrant
S o l u t i o n :
The point 1, – 1
lies in the IV quadrant.
The point 2, – 2
lies in the IV quadrant.
The point – 3, – 4
lies in the III quadrant.
The point 4, – 5
lies in the IV quadrant.
Hence, the correct option is d
.
Q u e s t i o n : 1 5
Point 0, – 8
lies
a
in the II quadrant
b
in the IV quadrant
c
on the x-axis
d
on the y-axis
S o l u t i o n :
The abscissa of the point 0, – 8
is zero.
The point 0, – 8
lies on the y-axis.
Hence, the correct option is d
.
Q u e s t i o n : 1 6
Point – 7, 0
lies
a
on the negative direction of the x-axis
b
on the negative direction of the y-axis
c
in the III quadrant
d
in the IV quadrant
S o l u t i o n :
The point – 7, 0
lies on the negative direction of the x-axis.
Hence, the correct option is a
.
Q u e s t i o n : 1 7
The point which lies on the y-axis at a distance of 5 units in the negative direction of the y-axis is
a
– 5, 0
b
0, – 5
c
5, 0
d
0, 5
S o l u t i o n :
The point which lies on the y-axis at a distance of 5 units in the negative direction of the y-axis is 0, – 5
.
Hence, the correct option is b
.
Q u e s t i o n : 1 8
The ordinate of every point on the x-axis is
a
1
b
–1
c
0
d
any real number
S o l u t i o n :
The ordinate of every point on the x-axis is 0.
Hence, the correct option is c
.
Q u e s t i o n : 1 9
If the y-coordinate of a point is zero then this point always lies
a
on the y-axis
b
on the x-axis
c
in the I quadrant
d
in the IV quadrant
S o l u t i o n :
The coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the y-axis is of the form (0, y).
Thus, if the y-coordinate of a point is zero, then this point always lies on the x-axis.
Hence, the correct answer is option b
.
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