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 solutions of the equation 12sinx+5cos x=2y^(2)-8y+21 , then the value of 12cot((xy)/(2)) is (Given, |x| lt pi )

If x and y are the real numbers satisfying the equation 12sin x+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

If x+y=12 and xy=32 then the value of (x^2+y^2) is:

If x,y are integral solutions of 2x^(2)-3xy-2y^(2)=7, then value of |x+y|

If x,y are integral solutions of 2x^(2)+3xy-2y^(2)=3, then value of |x-y|

Solve for x and y12sin x-2y^(2)=21-8y-5cos x

If 8x^2 + y^2 -12x -4xy+9 =0 , then the value of (14x-5y) is:

Let y=y(x) be the solution of the differential equation (dy)/(dx)=2(y+2sinx-5)x-2cosx such that y(0)=7 . Then y(pi) is equal to

sinx+cosx=y^(2)-y+a has no value of x for any y, if a belongs