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JEE Mains Model Paper 20
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© examsnet.com
Question : 1
Total: 90
Given a cube A B C D
A
1
B
1
C
1
D
1
with lower base ABCD, upper base
A
1
B
1
C
1
D
1
and the lateral edges
A
A
1
,
B
B
1
,
C
C
1
and
D
D
1
;
M and
M
1
are the centres of the faces ABCD and
–
–
–
–
O
A
+
–
–
–
–
O
B
+
–
–
–
–
O
C
+
–
–
–
–
O
D
=
–
–
–
–
O
M
1
. Then
–
–
–
–
O
M
=
λ
–
–
–
–
O
M
1
, if λ =
1
4
1
2
1
6
1
8
Validate
Solution:
–
–
–
–
–
O
M
1
=
–
–
–
–
–
O
M
+
–
–
–
–
–
M
A
+
–
–
–
–
–
O
M
+
–
–
–
–
–
M
B
+
–
–
–
–
–
O
M
+
–
–
–
–
–
M
C
+
–
–
–
–
–
O
M
+
–
–
–
–
–
M
D
=
4
–
–
–
–
–
O
M
+ (
–
–
–
–
–
M
A
+
–
–
–
–
–
M
C
) + (
–
–
–
–
–
M
B
+
–
–
–
–
–
M
D
)
=
4
–
–
–
–
–
O
M
+
–
–
–
–
–
O
+
–
–
–
–
–
O
=
–
–
–
–
–
O
M
=
1
4
–
–
–
–
–
O
M
1
© examsnet.com
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