Accelerate JEE 2020 : Binomial Theorem Quiz 4

The sum of the coefficients in the expansion of (1 + x – 3x²)²¹⁶³ will be

If the sum of the coefficients in the expansion of (1 – 3x + 10x²)ⁿ is a and if the sum of the coefficients in the expansion of (1 + x²)ⁿ is b, then

The coefficient of x¹⁰¹² in the expansion of (1+xⁿ+x²⁵³)¹⁰, (where n≤22 is any positive integer), is:

If the coefficients of (2r + 4) ^th and (r – 2)^th terms in the expansion of (1 + x)¹⁸ are equal, then r=