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CDS Model Paper 4 Mathematics
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© examsnet.com
Question : 49
Total: 100
A
B
C
D
is a rectangle of dimensions
6
c
m
times
8
c
m
.
D
E
and
B
F
are the perpendiculars drawn on the diagonal of the rectangle. What is the ratio of the shaded to that of unshaded region?
7
:
3
16
:
9
4
:
3
√
2
Data insufficient
Validate
Solution:
Area
of
Δ
D
A
E
Area
of
Δ
D
E
C
=
1
2
×
D
E
×
A
E
1
2
×
D
E
×
C
E
=
A
E
C
E
=
(
A
D
)
2
(
D
C
)
2
=
(
6
8
)
2
=
9
16
Similarly, in
Δ
A
B
C
,
Area
of
Δ
B
C
F
Area
of
Δ
B
F
A
=
9
16
∴ The area of shaded to unshaded region
=
16
9
© examsnet.com
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