If `u,v and w` are positive real numbers such that `usqrt(vw)+vsqrt(wu)+wsqrt(uv)>=1`, then the least value of u+v+w is ?

If u and v are complex numbers such that u=3-5i and v=-6+i , which of the following is equivalent to (u+v)^(2) ? (Note: i^(2)=-1 )

If cos^(-1)(x)+cos^(-1)(y)+cos^(-1)(z)=pi(sec^2(u)+sec^4(v)+sec^6(w)),w h e r e u , v , w are least non-negative angles such that u

If cos^(-1)(x)+cos^(-1)(y)+cos^(-1)(z)=pi(sec^2(u)+sec^4(v)+sec^6(w)),w h e r e u , v , w are least non-negative angles such that u

Let z=x+iy and w=u+iv be two complex numbers, such that |z|=|w|=1 and z^(2)+w^(2)=1. Then, the number of ordered pairs (z, w) is equal to (where, x, y, u, v in R and i^(2)=-1 )

If f and g are the function whose graphs are as shown, let u(x)=f(g(x)),w(x)=g(g(x)) Then the value of u'(1)+w'(1) is

Let vec u and vec v be unit vectors such that vec uxx vec v+ vec u= vec w and vec wxx vec u= vec v . Find the value of [ vec u \ vec v \ vec w] .

In Example 94, if n is even and E denotes the event of choosing even numbered urn (p(U_(i))=(1)/(n)) , then the value of P(W//E) , is

For all real numbers s,t,u and v such that s+t +u = 29 and s < v, which of the following statement is true ?

If omega(ne 1) be a cube root of unity and (1+omega^(2))^(n)=(1+omega^(4))^(n) , then the least positive value of n, is

Let u,v,w be rela numbers in geometric progression such that u gt v gt w. Suppose u ^(40)= v ^(n) = w ^(60). Find the value of n .