If `sum_(k=0)^100(k/(k+1))^(100)C_k=(x(2^(100))+y)/z` where `x, y,z in N` then least value of `xy^2z` is equal to

if sum_(k+1)(k)/(k+1)*^(100)C_(k)=(a*2^(100)+b)/(c) where a,b,c in N then find the least value of a+b+c

If x:y=2:3 , y:z=3:4 , z:k=1:2 , find the value of x:y:z:k

If the line (x-1)/(5)=(y-3)/(2)=(z-3)/(2) intersects the curve x^(2)-y^(2)=k^(2), z=0 , then the value of 2k can be equal to

If the line (x-1)/(5)=(y-3)/(2)=(z-3)/(2) intersects the curve x^(2)-y^(2)=k^(2), z=0 , then the value of 2k can be equal to

If 2x + k y + z is a factor of 9y^(2) - z^(2) - 2xz + 6xy , then the value of k is equal to

sin57^(@)cos3^(@)=(sqrt(x)+sqrt(y)+1)/(z) , and (x+y+z)=k^(2),k in R then the value of k=

IF lines (x-1)/(2) =(y+1)/(3) =(z-1)/(4) and x-3 =(y-k) /(2) = z intersect then the value of k is

If x,y,z are in A.P.then (x+2y-z)(2y+z-x)(z+x-y)=kxyz, where k in N, then k is equal to

If z=x+ iy,x,y real,then |x|+|y|<=k|z| where k is equal to :