Let `x ,y ,z ,t` be real numbers `x^2+y^2=9, z^2+t^2=4`, and `xt-y z=6` Then the greatest value of `P=xz` is a. 2 b. 3 c. 4 d. 6

If x,y,z are positive real numbers such that x^(2)+y^(2)+Z^(2)=7 and xy+yz+xz=4 then the minimum value of xy is

Let x,y,z be positive real numbers such that log_(2x)z=3,log_(5y)z=6 and log_(xy)z=(2)/(3) then the value of z is

If a,y and z are real numbers such that x^(2)+y^(2)+2z^(2)=4x-2z+2yz-5, then the possible value of (x-y-z) is :

Let x,y,z be real numbers satisfying x+y+z=3,x^(2)+y^(2)+z^(2)=5 and x^(3)+y^(3)+z^(3)=7 then the value of x^(4)+y^(4)+z^(4) is

If x^(2)+y^(2)+z^(2)=1 , where x,y,z in R^(+) then greatest value of x^(2)y^(3)z^(4) is

If x , y, z in R, x + y + z= 4 and x^(2) + y^(2) + z^(2) = 6 , then the maximum possible value of z is

The x,y,z are positive real numbers such that log_(2x)z=3,log_(5y)z=6, and log_(xy)z=(2)/(3), then the value of ((1)/(2z)) is .........