Which term of (2x-3y)¹² when x=1, y=5/2 numerically greatest?

If two consecutive terms in the expansion of (x+a)ⁿ are equal where n is a positive integer then (n+1)a/x+a is

If the sum of odd terms and the sum of even terms in the expansion of (x+a)ⁿ are p and q respectively then p²+q²=

If the coefficients of (2r+1)^th term and (4r+5)^th term in the expansion of (1+x)¹⁰ are equal then r=

If the 3^rd, 4^th and 5^th terms of (x+a)ⁿ are 720, 1080 and 810 respectively then (x,a,n)=

xⁿ-1 is divisible by x-k. Then the least +ve integral value of K is

The point which divides the line segment joining the points( 1,-1,2), (2,3,7) in the ratio -2:3 is

The first three terms in the expansion of (1+x+x²)¹⁰ are

C₀+4.C₁+7.C₂+……(n+1) terms =

The number of terms which are free from radical signs in the expansion of (x^1/5+y^1/10)⁵⁵ is