If half of `x` is `y` and one-third of `y` is `z` then

In a triangle if the sum of two sides is x and their product is y such that (x+z) (x-z)=y where z is the third side of the triangle then the triangle is

A radioactive sample X has thrice the number of nuclei and activity one-third as compared to other radioactive sample Y. The ratio of half-lives of X and Y is

If z = x + iy lies in the third quadrant, then prove that (barz)/(z) also lies in the third quadrant when y lt x lt 0

If z = x + iy lies in the third quadrant, then prove that (barz)/(z) also lies in the third quadrant when y lt x lt 0

A solid is formed and it has three types of atoms X, Y, Z. X forms an FCC lattice with Y atoms occupying one-fourth of tetrahedral voids and Z atoms occupying half of the octahedral voids. The formula of the solid is

The three adjacent surfaces of cuboid are x sq. unit, y sq. unit and z sq. unit. The length of its one of the diagonal is Option 1 (xy/z+yz/x+zx/y)^(1/2) Option 2 ( z x/ y + x y/ z + y z/ x )^(1/2) Option 3 ( x y/ z + y z/ x + z x/ y ) Option 4 ( z y/ x + y z/ x + x y/ z )