`(3xy-7)^2` Expand the given equation.

If 7x^(2)-kxy-7y^(2)=0 represents the joint equation of the bisectors of the angles between the lines given by 2x^(2)-7xy+4y^(2)=0 , then k=

The equation of the parabola whose vertex is (a,0) and the directrix has the equation x+y=3a is x^(2)+y=3xy+6ax+10ay+7a^(2)=0x^(2)-2xy+y^(2)-6ax+10ay+7a^(2)=0x^(2)-2xy+y^(2)+6ax+10ay+7a^(2)=0 None of these

In the equations 3x+2y=13xy and 4x-5y=2xy, the values of x and y that satisfy the equations are

Expand the using suitable identity. (xy + yz) ^(2)

Expand the using suitable identity. (x ^(2) y - xy ^(2)) ^(2)

Given the equation 4x^(2)+2sqrt(3)xy+2y^(2)=1 , through what angle should the axes be rotated so that the term in xy be wanting from the transformed equation.

The centroid of the triangle whose three sides are given by the combined equation (x^(2)+7xy+2y^(2))(y-1)=0 , is

The four straight lines given by the equations 2x^(2)+7xy12y^(2)=0 and 12x^(2)+7xy-12y^(2)-x+7y-1=0 lie along the sides of a