Solve the following :

6. Normal to the curve y = f(x) at (1, 1) is 3x + 4y = 7. Also f (x) > 4x-1 for x 1 and f(x) < 4x-1 7. 8. lim x-1 3 for x 1. where f(x) is twice differentiable everywhere in its domain. Evaluate 3f'(x) - 2f (x) - 2x f(x)-x If a, b, c be three natural numbers in A.P. and a+b+c=30, then the possible number of values of a, b, c is? If the co-efficient of x in the expansion of (1-x+2x)12 is +2 Cr+1 +1 +1 Cr + "Cr, then the coefficient of x' in the expansion of (1+x)/2 is