If `x` is real then possible integral value of `y` such that `x^2 + y^2 - 4y + 3 = 0,` can be

the no. of possible integral values of m for which the circle x^2+y^2=4 and x^2+y^2-6x-8y+m^2=0 has exactly two common tangents are

the no.of possible integral values of m for which the circle x^(2)+y^(2)=4 and x^(2)+y^(2)-6x-8y+m^(2)=0 has exactly two common tangents are

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

If x + y+ k =0 touches the circle x ^(2) + y^(2) -2x -4y + 3 =0, then k can be

If x + y+ k =0 touches the circle x ^(2) + y^(2) -2x -4y + 3 =0, then k can be

Find the greatest value of x^3y^4 if 2x + 3y = 7 and x>=0,y>=0 .

Find the greatest value of x^3y^4 if 2x + 3y = 7 and x>=0,y>=0 .

Find the greatest value of x^3y^4 if 2x + 3y = 7 and x>=0,y>=0 .

Find the greatest value of x^3y^4 if 2x + 3y = 7 and x>=0,y>=0 .

Prove that sin^2theta=(x+y)^2/(4xy) is possible for real values of x and y only when x = y , y!=0 and x!=0 .