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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

Match the following array |c|l|c|c| & Column I & Column II (A) & array l Number of points where the function f(x)= | x|, x is non-differentiable in the interval (-1,1) array & (p) & 6 (B) & array l The sum of those factors of 71 Which are of the form 3 n +1 and odd ( n W ) array & (q) & 4 (C) & array l If ax ^2+ bx + c =0 and 2 x ^2+3 x +4=0 have a common root where a, b, c N, then the least value of a+b+c is array &

Options

  1. A( A ) ( p ) ;( B ) ( r ) ;( C ) ( q ) ;( D ) ( s )
  2. B( A ) ( q ) ;( B ) ( r ) ;( C ) ( t ) ;( D ) ( p )
  3. C( A ) ( r ) ;( B ) ( p ) ;( C ) ( s ) ;( D ) ( q )
  4. D( A ) ( s ) ;( B ) ( q ) ;( C ) ( p ) ;( D ) ( r )

Correct answer

C. ( A ) ( r ) ;( B ) ( p ) ;( C ) ( s ) ;( D ) ( q )

Step-by-step solution

(A) Hence at 4 points function is not differentiable (B) 7!=2^4 3^2, 5,7 and factor should be of (3 n+1) form and odd. only. their sum =8 . . in 2^ 3^ 5^ 7^ , =0 , =0, =0, =1 (C) 2 x ^2+3 x +4=0 , roots are pair wise imaginary least of a+b+c=2+3+4=9 (D) f(x)= ^7 x d x- | x|= ^5 x ( ^2 x-1 ) d x- | x|= ^6 x 6 - ^5 x d x

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