Binomial TheoremHard

Question

The sum of the co-efficients in the expansion of (1 - 2x + 5x2)n is a and the sum of the co-efficients in the expansion of (1 + x)2n is b. Then:

Options

A.a = b
B.(x - a)2 + (x - b)2 = 0, has real roots
C.sin2 a + cos2 b = 1
D.ab = 1

Solution

For sum of co-efficient put x = 1
a = 4n & b = 22n  ⇒  a = b

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