99 Percentile Qs Bank for JEE MainMathematicsLimits

_ x 0 (m x)- (n x) x^2 =

Options

Am ^2- n ^2 2
Bm^2-n^2
Cn ^2- m ^2 2
Dn^2-m^2

Correct answer

C. n ^2- m ^2 2

Step-by-step solution

aligned & _ x 0 (m x)- (n x) x^2 & = _ x 0 [-2 (m+n) x 2 (m-n) x 2 ] x^2 & =-2 _ x 0 [ ( m+n 2 ) x ( m+n 2 ) x ( m+n 2 ) ] [ ( m-n 2 ) x ( m-n 2 ) x ( m-n 2 ) ] & =(-2) ( m+n 2 ) ( m-n 2 )= m^2-n^2 -2 = n^2-m^2 2 aligned

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