JEE Advanced 2020 Full Test 4 Paper 1

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Question : 53 of 54
 
Marks: +1, -0
→
a
,
→
b
and
→
c
be three non − coplanar vectors, and
→
d
be a non zero vector, which is perpendicular to (
→
a
+
→
b
+
→
c
)
.
Now if
→
d
=sin‌x(
→
a
×
→
b
)
+cos‌y(
→
b
×
→
c
)
+2(
→
c
×
→
a
)
,
then minimum value of x2+y2 is equal to ‌
λπ2
4
,
where λ is
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