If z=x+iy and `x^(2)+y^(2)=16`, then the range of `abs(abs(x)-abs(y))` is

If z=x+iy and abs(z - zi) = 1, then,

Let x=2i+j-2k" and "y=i+j . If z is a vector such that x.z=abs(z), abs(z-x)=2sqrt(2) and the angle between x times y and z is 30^(@) , then the magnitude of the vector (x timesy) timesz is:

If (x+1)/(x-1)=(a)/(b) and (1-y)/(1+y)=(b)/(a), then the value of (x-y)/(1+xy) is (2ab)/(a^(2)-b^(2)) (b) (a^(2)-b^(2))/(2ab) (c) (a^(2)+b^(2))/(2ab) (d) (a^(2)-b^(2)backslash)/(ab)

If y^2=x z and a^x=b^y=c^z , then prove that (log)_ab=(log)_bc

If y^2=x z and a^x=b^y=c^z , then prove that (log)_ab=(log)_bc

If y^2=x z and a^x=b^y=c^z , then prove that (log)_ab=(log)_bc

The number of values of y in [-2pi,2pi] satisfying the equation abs(sin2x)+abs(cos2x)=abs(siny) is

The number of values of y in [-2pi,2pi] satisfying the equation abs(sin2x)+abs(cos2x)=abs(siny) is