If the equation `2^x+4^y=2^y + 4^x` is solved for `y` in terms of `x` where `x<0,` then the sum of the solution is (a) `x(log)_2(1-2^x)` (b) `x+(log)_2(1-2^x)` (c)`(log)_2(1-2^x)` (d) `x(log)_2(2^x+1)`

y=2^(1/((log)_x4) , then find x in terms of y.

Solve the equation tan^4x+tan^4y+2cot^2xcot^2y=3+sin^2(x+y) for the values of x and y dot

Find the equations of the straight lines joining the origin to the points of intersection of x^2+y^2-4x-2y=4 and x^2+y^2-2x-4y=4 .

Statement 1 : The equations of the straight lines joining the origin to the points of intersection of x^2+y^2-4x-2y=4 and x^2+y^2-2x-4y-4=0 is x-y=0 . Statement 2 : y+x=0 is the common chord of x^2+y^2-4x-2y=4 and x^2+y^2-2x-4y-4=0

Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4x-4y-1=0 orthogonally is (a) x^2+y^2-2x+4y-3=0 (b) x^2+y^2-2x+4y+3=0 (c) x^2+y^2+2x+4y+3=0 (d) x^2+y^2+2x-4y+3=0

Solve the following system of equations: 2/x+3/y=9/(x y),\ \ \ 4/x+9/y=(21)/(x y),\ \ where x!=0,\ y!=0

Solve the pair of equations : 2/x+3/y=13 , 5/x-4/y=-2

Find the point to which the axes are to be translated to eliminate x and y terms (remove first degree terms) in the equation 2x^(2)+4xy+5y^(2)-4x-22y+7 = 0.

Write down the terms of the expression: 8x^4y-7x^3y z+4/3x^2y z^2- 5 x y z . What is the coefficient of x^2 in the term 4/3x^2y z^2?

In the algebraic expression 5x^2y+7x y^2-3x y-4y x^2, we have 5x^2y and -4y x^2 as like terms, whereas 7x y^2 and -3x y are unlike terms.