(1)

 If f(x)=a₀.x^2m+1 + a₁.x^2m + ------- + a_2m+1 =0 (a₀ not = 0 ) is a polynomial equation with rational coefficients      then prove that the equation f'(x) =0 cannot have a real root.

(2)

find dy/dx when Sqrt (1-y²) + Sqrt ( 1-t²) =  ( y-t )and x= sin^-1 ( t X sqrt (1-t ) + sqrt ( t ) X sqrt (1-t²))

express your result as a fn of y and t , independant of alpha

what's the q?