If `p^(2)x^(2)-q^(2)=0`, then `x` is equal to

a^(2)p^(2)x^(2)-q^(2)=0,x=

The circumference of the circle x^(2)+y^(2)-2x+8y-q=0 is bisected by the circle x^(2)+y^(2)+4x+12y+p=0, then p+q is equal to

If x^(2) - 3x + 2 is factor of x^(4) - px^(2) + q then 2q - p is equal to

If P(x) is a polynomial such that P(x^(2)+1)={P(x)}^(2)+1 and P(0)=0, then P'(0) is equal to

If the equation (m^(2)+n^(2))x^(2)-2(mp+nq)x+p^(2)+q^(2)=0 has equal roots,then

If cos^(4)theta+p, sin^(4)theta+p are the roots of the equation x^(2)+a(2x+1)=0 and cos^(2)theta+q,sin^(2)theta+q are the roots of the equation x^(2)+4x+2=0 then a is equal to