`(x^(2)+y^(2))/(xy)-(x^(2))/(xy+y^(2))-(x^(2))/(x^(2)+xy)-(1)/(xy(x+y))`

((10x^(2)y)/(x^(2)+xy))times(((x+y)^(2))/(2xy))÷((x^(2)-y^(2))/(y^(2))) Which of the following is equivalent to the expression above?

The differential equations of all circle touching the x-axis at orgin is (a) (y^(2)-x^(2))=2xy((dy)/(dx)) (b) (x^(2)-y^(2))(dy)/(dx)=2xy ( c ) (x^(2)-y^(2))=2xy((dy)/(dx)) (d) None of these

Simplify: 2x^(2)+3xy -3y^(2)+x^(2)-xy+y^(2)

The differential equation of all conics whose centre klies at origin, is given by (a) (3xy_(2)+x^(2)y_(3))(y-xy_(1))=3xy_(2)(y-xy_(1)-x^(2)y_(2)) (b) (3xy_(1)+x^(2)y_(2))(y_(1)-xy_(3))=3xy_(1)(y-xy_(2)-x^(2)y_(3)) ( c ) (3xy_(2)+x^(2)y_(3))(y_(1)-xy)=3xy_(1)(y-xy_(1)-x^(2)y_(2)) (d) None of these

Add : 5x^(2)-2xy +8y^(2), 3xy -7y^(2)-2x^(2) and y^(2)+xy-4x^(2) .

Consider the expression (3)/(2)x^(2)y-(1)/(2)xy^(2)+6x^(2)y^(2) In the term -(1)/(2)xy^(2) , what is the coefficient of x ?

y(xy+1)dx+x(1+xy+x^(2)y^(2))dy=0

Add the following expressions using horizontal method : -x^(2)y + xy^(2) + 2xy , 3x^(2) y + 4xy^(2) + 5xy and 7x^(2)y - 10xy^(2) - xy

Find the sum of n terms of the series (x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2)y+xy^(2)+y^(3))+...

Add : x^(3) - x^(2)y + 5xy^(2) + y^(3) , -x^(3) - 9xy^(2) + y^(3), 3x^(2)y + 9xy^(2)