If `9^7+7^9` is divisible b `2^n ,` then find the greatest value of `n ,w h e r en in Ndot`

The number of terms in the expansion of (a+b+c)^n ,w h e r en in Ndot

If 7!/n!=7 then the value of n is:

If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2],n in N then find the greatest value of ndot

If the sum of square of roots of the equation x^2+(p+i q)x+3i=0 is 8, then find the value of pa n dq j ,w h e r epa n dq are real.

Find the least value of n such that (n-2)x^2+8x+n+4>0,AAx in R ,w h e r en in Ndot

Statement 1: 3^(2n+2)-8n-9 is divisible by 64 ,AAn in Ndot Statement 2: (1+x)^n-n x-1 is divisible by x^2,AAn in Ndot

Find the greatest value of x^2y^3z^4 if x^2+y^2+z^2=1,w h e r ex ,y ,z are positive.

Statement 1: If p is a prime number (p!=2), then [(2+sqrt(5))^p]-2^(p+1) is always divisible by p(w h e r e[dot] denotes the greatest integer function). Statement 2: if n prime, then ^n C_1,^n C_2,^n C_2 ,^n C_(n-1) must be divisible by ndot

If "^(2n+1)P_(n-1):^(2n-1)P_n=3:5, then find the value of ndot