If x and y are the solutions of the equatiion `12sinx+5cosx=2y^2-8y+21` the value of `144cot(xy/2)` is

If x and y are the real numbers satisfying the equation 12sinx + 5cos x = 2y^2 - 8y +21 , then the value of 12cot((xy)/2) is:

If x=2npi+tan^(-1).(p)/(q) and y=r is a solution of the equation 12sinx+5cosx=2y^(2)-8y+21 , then the value of k, such that sqrt(p^(2)+q^(2)+kr^(2))=15 , is equal to

Solve for x and y the system of equations sinx cos 2y=1 cosx sin 2y=0

If x and y are positive real numbers such that x^3+8y^3+24xy=64 , then the value of 1/(x+2y) is

x+2y=3 2x-y=8.5 If (x, y) is a solution to the above system of equtions, what is the value of x-y ?

Find all values of x, y and k for which the system of equations. sinx cos2y = k^(4)-2k^(2)+2 cosx sin2y=k+1 has a solution.

Solve for x and y 12sinx-2y^2=21-8y-5 cosx

If 2x-3y=5 , what is the value of 4x^(2)-12xy+9y^(2) ?

The number of positive integral solutions (x,y) of the equation 2xy-4x^(2)+12x-5y=11, is