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BITSAT2010MathematicsVector AlgebraActual

If (( a b )^2+( a b )^2=676 ) and (| b |=2 ) then (| a | ) is equal to

Options

  1. A13
  2. B26
  3. C39
  4. DNone of these

Correct answer

A. 13

Step-by-step solution

( aligned &( a b )^2+( a b )^2=676 &(| a | | b | n )^2+(| a | | b | )^2=676 & a^2 b^2 ^2 +a^2 b^2 ^2 =676 [( n )^2=1 ] & a^2 b^2 ( ^2 + ^2 )=676 a^2= 676 b^2 = 676 4 &| a |= 676 4 | a |= 26 2 | a |=13 aligned )

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