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CDS Model Paper 1 Mathematics
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© examsnet.com
Question : 73
Total: 100
In the adjoining the figure, points A, B, C and D lie on the circle.
AD
=
24
and
BC
=
12
. What is the ratio of the area of the triangle
CBE
to that of the triangle
ADE
1
:
4
1
:
2
1
:
3
Insufficient data
Validate
Solution:
AD
=
24
,
BC
=
12
In
Δ
BCE
&
Δ
ADE
since
∠
C
CB
=
∠
CDA
(Angles by same arc)
∠
BCE
=
∠
DAE
(
Angles by same arc)
∠
BEC
=
∠
DEA
(
Opp
.
angles)
∴
∠
BCE
&
∠
DAE
are similar
Δ
s
with sides in the ratio
1
:
2
Ratio of area
=
1
:
4
( i.e square of sides)
© examsnet.com
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