JEE Advanced Model Paper 8 with solutions for online practice

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Question : 29 of 84
 
Marks: +1, -0
→
a
and
→
b
are non zero non–collinear vectors such that |
→
a
|
= 2 ,
→
a
.
→
b
= 1 and angle between
→
a
and
→
b
is
π
3
. If
→
r
is any vector satisfying
→
r
.
→
a
= 2 ,
→
r
.
→
b
= 8 , (
→
r
+2
→
a
−10
→
b
)
. (
→
a
.
→
b
)
= 6 and
→
r
+2
→
a
−10
→
b
= λ (
→
a
×
→
b
)
then λ =
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