If `m` is the minimum value of `f(x , y)=x^2-4x+y^2+6y` when `xa n dy` are subjected to the restrictions `0lt=xlt=1a n d0lt=ylt=1,` then the value of `|m|` is________

Find the maximum value of x^(m)y^(n),m,n>0 such that x+y=a.

The minimum value of 3x+4y for x>0,y>0 such that x^(2)y^(3)=6 is

If x=1\ a n d\ y=6 is a solution of the equation 8x-a y+a^2=0 , find the value of a

Find the values of xa n dy if [x+10 y^2+2y0-4]=[3x+4 3 0y^2-5y]

If 0lt xlt(pi)/(2)andsecx= "cosecy" then the value of sin(x+y) is :

If M and m are the maximum and minimum values of (y)/(x) for pair of real numbers (x, y) which satisfy the equation (x-3)^(2)+(y-3)^(2)=6 , then the value of (1)/(M)+(1)/(m) is

If 0 lt x lt pi/2 and sec x = cosec y , then the value of sin (x + y) is