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CBSE Questions for Class 9 Maths Quadrilaterals Quiz 9 - MCQExams.com
CBSE
Class 9 Maths
Quadrilaterals
Quiz 9
In a quadrilateral ABCD, the point P divides DC in the ratio 1:2 and Q is the mid point of AC. If
¯
¯¯¯¯¯¯
¯
A
B
+
¯
¯¯¯¯¯¯¯¯¯
¯
2
A
D
+
¯
¯¯¯¯¯¯
¯
B
C
−
¯
¯¯¯¯¯¯¯¯¯
¯
2
D
C
=
k
¯
¯¯¯¯¯¯
¯
P
Q
.
A
B
¯
+
2
A
D
¯
+
B
C
¯
−
2
D
C
¯
=
k
P
Q
¯
.
then
k
=
k
=
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0%
-6
0%
-4
0%
6
0%
4
If D is mid-point of the side BC of a triangle ABC and AD is perpendicular to AC then
a
2
c
2
b
2
a
2
c
2
b
2
=
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0%
1
0%
2
0%
3
0%
4
The mid point of the side of a triangle along with any of the vertices as the fourth point make a parallelogram of area=
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0%
1
2
a
r
(
A
B
C
)
1
2
a
r
(
A
B
C
)
0%
1
3
a
r
(
A
B
C
)
1
3
a
r
(
A
B
C
)
0%
1
4
a
r
(
A
B
C
)
1
4
a
r
(
A
B
C
)
0%
a
r
(
A
B
C
)
a
r
(
A
B
C
)
In the figure, ABCD and PQRS are rectangles, where Q is the mid - point of AC then
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0%
D
P
=
P
C
D
P
=
P
C
0%
1
3
P
R
=
3
2
D
B
1
3
P
R
=
3
2
D
B
0%
D
P
=
P
Q
D
P
=
P
Q
0%
D
P
=
1
2
A
C
D
P
=
1
2
A
C
Three angles of a quadrilateral are in the ratio 4 : 5 : 6 with the difference of
36
0
36
0
between the largest and the smallest of the given three angles. The fourth angle of the quadrilateral would be
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0%
270
0
270
0
0%
90
0
90
0
0%
108
0
108
0
0%
72
0
72
0
Let P, Q, R and S be the points on the plane with position vectors
−
2
∧
i
−
∧
j
,
4
∧
i
,
3
∧
i
,
3
∧
j
−
2
i
∧
−
j
∧
,
4
i
∧
,
3
i
∧
,
3
j
∧
and
−
3
∧
i
+
2
∧
j
−
3
i
∧
+
2
j
∧
respectively. The quadrilateral PQRS must be a
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0%
Parallelogram, which is neither a rhombus nor a rectangle
0%
square
0%
rectangle, but not a square
0%
rhombus, but not a square
PQRS 5
∠
Q
=
7
∠
s
,
∠
Q
=
.
.
.
.
∠
Q
=
7
∠
s
,
∠
Q
=
.
.
.
.
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0%
105
0
105
0
0%
75
0
75
0
0%
90
0
90
0
0%
60
0
60
0
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1
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Incorrect : 0
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