सिद्ध कीजिए कि:
`|(a+b,c+d),(-c+d,a-b)|=a^(2)-b^(2)+c^(2)-d^(2)`.

If (a)/(b) = (c)/(d) , show that : (a + b) : (c + d) = sqrt(a^(2) + b^(2)) : sqrt(c^(2) + d^(2))

If (a)/(b)=(c)/(d) then (a+b)/(a-b)=(c+d)/(c-d),ab=cd ,(a^(2)+b^(2))/(a^(2)-b^(2))=(c^(2)+d^(2))/(c^(2)-d^(2)), ad-dc=0

If a : b = c : d , then prove that (a + c) : (b + d) = sqrt(a^(2) - c^(2)) : sqrt(b^(2) - d^(2))

(a+ b + c- d)^2-(a-b-c+d)^2 =?

If a, b, c, d are in GP, prove that (b-c)^(2)+(c-a)^(2)+(d-b)^(2)=(a-d)^(2) .

If a, b, c and d are in G.P., show that, (b-c)^(2) + (c-a)^(2)+ (d-b)^(2) = (a-d)^(2) .

If a,b,c,d are in G.P.then (a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in

The positive square root of ((a + b) ^(2) - (c + d) ^(2))/( (a + b) ^(2) - (c - d ) ^(2)) xx ((a + b + c) ^(2) - d ^(2))/( (a + b -c ) ^(2 ) - d ^(2)) using factorisation is: