99 Percentile Qs Bank for JEE MainMathematicsLimits

_ x a a+2 x - 3 x 3 a+x -2 x =

Options

A1 3 3
B2 3
C2 3 3
D-2 3 3

Correct answer

C. 2 3 3

Step-by-step solution

aligned & _ x a a+2 x - 3 x 3 a+x -2 x & = _ x a ( a+2 x - 3 x )( a+2 x + 3 x )( 3 a+x +2 x ) ( 3 a+x -2 x )( 3 a+x +2 x )( a+2 x + 3 x ) & = _ x a (a+2 x-3 x)( 3 a+x +2 x ) (3 a+x-4 x)( a+2 x + 3 x ) & = ( 3 a+a +2 a ) 3( a+2 a + 3 a ) & = 1 3 (2 a +2 a ) ( 3 a + 3 a ) & = 4 a 6 3 a & = 2 3 3 aligned

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