Find the greatest and the least real value of x $ y satisfy the relation `x^2+y^2=6x-8y`.

Find the greatest value of x, which satisfies the system of equations : x^(3)+y^(3)=35,x^(2)y+xy^(2)=30 .

Find the greatest value of c such that system of equation x^(2) + y^(2)=25, x+y =c has a real solution

Find the least and the greatest value of f(x , y) = x^(2) + y^(2) - xy where x and y are connected by the relation x^(2) + 4y^(2) = 4

Find the centre and radius of each of the following: x^2+y^2-6x-8y-24=0

Find the greatest and least value of y= x^(3)-3x^(2) + 6x-2 on [-1,1] y is differentiable function of x and y'(x) = 3x^(2) -6x + 6= 3(x^(2) -2x+2) =3(x-1)^(2) gt 0 .

Find all ordered pairs of real numbers that satisfy both the equations x^(2)+y^(2)=2xy and x^(2)+y^(2)=6x+6y+2

IF x is real , find the greatest and the least value of : (x^2-2x+2)/(x^2+3x+9)

Find the greatest &x least value for the function; y=x+sin2x,0<=x<=2 pi

Find the length of intercept on the straight line 2x - y = 5 by the circle x^(2) + y^(2) - 6x + 8y - 5 = 0

Prove that for all real values of x and y ,x^2+2x y+3y^2-6x-2ygeq-11.