(y+3)^(2)=2(x+2)

If x and y are real numbers, then the least possible value of 4(x-2)^(2)+(y-3)^(2)-2(x-3)^(2) is

Solve for (x - 1)^(2) and (y + 3)^(2) , 2x^(2) - 5y^(2) - x - 27y - 26 = 3(x + y + 5) and 4x^(2) - 3y^(2) - 2xy + 2x - 32y - 16 = (x - y + 4)^(2) .

If (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are vertices of equilateral triangle such that (x_(1)-2)^(2)+(y_(1)-3)^(2)=(x_(2)-2)^(2)+(y_(2)-3)^(2)=(x_(3)-2)^(2)+(y_(3)-3)^(2) then

If (x_(1), y_(1)), (x_(2), y_(2)), (x_(3), y_(3)) are the vertices of an equilateral triangle such that (x_(1)-2)^(2)+(y_(1)-3)^(2)=(x_(2)-2)^(2)+(y_(2)-3)^(2)=(x_(3)-2)^(2)+(y_(3)-3)^(2) then x_(1)+x_(2)+x_(3)+2(y_(1)+y_(2)+y_(3))=

If (x_(i),y_(i)),i=1,2,3, are the vertices of an equilateral triangle such that (x_(1)+2)^(2)+(y_(1)-3)^(2)=(x_(2)+2)^(2)+(y_(2)-3)^(2)=(x_(3)+2)^(2)+(y_(3)-3)^(2) then find the value of (x_(1)+x_(2)+x_(3))/(y_(1)+y_(2)+y_(3))

If x:y = 3 : 2, then the ratio 2x^(2) + 3y^(2) : 3x^(2) - 2y^(2) is equal to :