Given x, y `in R , x^(2) + y^(2) gt 0 ` . Then the range of `(x^(2) + y^(2))/(x^(2) + xy + 4y^(2))`

If x^2+y^2=x^2y^2 then find the range of (5x+12 y+7x y)/(x y) .

If x^(2)+y^(2)+6x-4y-12=0 then find the ragne of 2x+y

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

(x+y)(x^(2)- xy +y^(2)) is equal to

The HCF of x^(2) - 2xy + y^(2) and x^(4) - y^(4) is ……… .

Identify the type of conic section for each of the equations 1. 2x^(2) -y^(2) = 7 2. 3x^(2) +3 y^(2) -4x + 3y + 10 =0 3. 3x^(2) + 2y^(2) = 14 4. x^(2) + y^(2) + x-y=0 5. 11x^(2) -25y^(2) -44x + 50y - 256 =0 6. y^(2) + 4x + 3y + 4=0

If (x,y) lies on the ellipse x^(2)+2y^(3) = 2 , then maximum value of x^(2)+y^(2)+ sqrt(2)xy - 1 is

The LCM and GCD of the two polynomilas is (x^2 + y^(2) ) (x^(4) + x^(2) y^(2) + y^(4)) and x^(2) -y^(2) one of the polynomial q(x) is (x^(4)-y^(4))(x^(2) +y^(2) - xy) find the other polynomials.

If R={(x,y): x,y in W, x ^(2)+y^(2)=25} , then find the domain and range or R.