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Q.

If A+B=Rand2A+B is perpendicular to B  then     

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a

A = R

b

B = R

c

B = A

d

B = 2R

answer is A.

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Detailed Solution

Given (2A+B)istoB

(2A+B).B=0

2AB+B2=0(1)

Given R=A+B

B=RA

2RA2A2+R2+A22RA=0

=R2A2

R2=A2

R=A

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If A→+B→=R→ and 2A→+B→ is perpendicular to B→  then