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CAT 2020 Exam Shift 3 Solved Paper
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© examsnet.com
Question : 65
Total: 76
The vertices of a triangle are
(
0
,
0
)
,
(
4
,
0
)
and
(
3
,
9
)
. The area of the circle passing through these three points is
14
π
3
12
π
5
123
π
7
205
π
9
Validate
Solution:
a
=
4
,
b
=
√
90
;
c
=
√
82
Area of the triangle
=
1
2
×
4
×
9
=
18
The circumradius of the triangle
(
R
)
=
a
b
c
4
∆
Area of the circle
=
π
R
2
=
π
(
a
b
c
4
∆
)
2
=
π
(
4
⋅
√
90
⋅
√
82
)
2
(
4
⋅
18
)
2
=
π
×
16
×
90
×
82
16
×
18
×
18
=
205
9
π
© examsnet.com
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