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=0)^(100)((k)/(k+1))^(100)C_(k)=(x(2^(100))+y)/(z) where x,y,z in N then least value of xy^(2)z 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 the area bounded by y=x^(2) and y=(2)/(1+x^(2)) is (K_(1)pi-(K_(2))/(3)) sq. units (where K_(1), K_(2) in Z ), then the value of (K_(1)+K_(2)) is equal to

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

If z=x+iy,x,y real , then |x|+|y|lek|z| where k is 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