`x^(5).y^(7)=(x+y)^(12)`

If x^(7) .y^(5)=(x+y)^(12) , show that (dy)/(dx) = (y)/(x)

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

If x^5y^7=(x+y)^12 find dy/dx

The length of the latusretum of the parabola 169|(x-1)^(2)+(y-3)^(2)|=(5x-12y+7)^(2) , is

If (5)((7)/(x))xx(y)(1)/(13)=12 where fractions are in their lowest terms then value of x-y=

Show that dy/dx = frac{y}{x} in the following, where a and p are constants.: x^7 y^5 = (x+y)^12

The four lines given by the equations 12 x^(2)+7 x y-12 y^(2)=0 and 12 x^(2)+7 x y-12 y^(2)-x+7 y-1=0 lie along the sides of a

7(x-2y)^(2)-25(x-2y)+12

If x=5 and y=-2 , then find the value of (i) (8x-2y+5)/(2x+4ty+12) " "(ii) (5x-6y-7)/(3x+6y+12)