If `(a+ib)(c+id)(e+if)(g+ih) = A + iB`, then show that
`(a^(2) + b^(2))(c^(2) + d^(2))(e^(2) + f^(2)) (g^(2) + h^(2)) = A^(2) + B^(2)`

If x-iy = sqrt((a+ib)/(c-id)) , prove that (x^(2) + y^(2))^(2) = (a^(2) + b^(2))/(c^(2) + d^(2))

If y= e^(ax) sin bx then show that, y_(2)- 2ay_(1) + (a^(2) + b^(2))y= 0

If a+ib = (x+i)^(2)/(2x^(2)+1) , prove that a^(2) + b^(2) = (x^(2)+1)^(2)/(2x^(2) + 1)^(2)

if a,b, c, d and p are distinct real number such that (a^(2) + b^(2) + c^(2))p^(2) - 2p (ab + bc + cd) + (b^(2) + c^(2) + d^(2)) lt= 0 then a, b, c, d are in

If a,b,c,d,e and f are in GP the value of |{:(a^(2),d^(2),x),(b^(2),e^(2),y),(c^(2),f"^(2),z):}| is

If a/b=c/d=e/f, then show that (a^(3)b+2c^(2)e-3ae^(2)f)/(b^(4)+2d^(2)f-3bf^(3))=(ace)/(bdf) (wherever defined)

If g, h, k denotes the side of a pedal triangle, then prove that (g)/(a^(2))+ (h)/(b^(2))+ (k)/(c^(2))=(a^(2)+b^(2) +c^(2))/(2 abc)

If 2,b,c, 23 are in G.P then (b-c)^(2)+ (c-2)^(2) + (23-b)^(2) = …….

For DeltaABC prove that, (a-b)^(2)cos^(2)""(C)/(2)+(a+b)^(2)sin^(2)""(C)/(2)=c^(2)

a,b,c,d are in G.P. Prove that a^(2)-b^(2),b^(2)-c^(2), c^(2)-d^(2) are also in G.P.