NIMCET 2013 Question Paper with solutions

Question : 18 of 120

Marks: +1, -0

If f (x) be polynomial function of second degree and f(-1) = f(1). If a,b, c are in A.P. then f'(a) , f'(b) , f'(c) are in

Solution:

Let the 2 degree polynomial be

f(x)=px^2+qx+r

∴f(1)=f(-1)

⇒p+q+r=p-q+r⇒q=0

∵f'(x)=2px

So,f'(a),f'(b),f'(c) will be 2pa,2pb and 2pc
Hence, it is an AP,

Go to Question:

Prev Question

Next Question