यदि `a:b=c:d` हो, तो सिद्ध कीजिए कि `(a^(2)+c^(2))/(b^(2)+d^(2))=(ac)/(bd)`

सिद्ध कीजिए कि 2tan^(-1)sqrt((b)/(a))=cos^(-1)((a-b)/(a+b))

If a:b=c:d then value of (a^(2)+b^(2))/(c^(2)+d^(2)) is

सिद्ध कीजिए कि |vecA xx vecB|^(2) + |vecA * vecB|^(2) = (AB)^(2).

The value of the determinant |(bc,ac,ab),(a,b,c),(a^(3),b^(3),c^(3))| is a)(a + b + c) b)a + b + c -ab c) (a^(2) - b^(2))(b^(2) - c^(2)) (c^(2) - a^(2)) d) a^2+b^2+c^2

if a : b = c : d prove that : (a^(2) + ac + c^(2)) : (a^(2) - ac + c^(2)) = (b^(2) + bd + d^(2)) : (b^(2) - bd + d^(2))

Factorise : a^(2)-9b^(2)+4c^(2)-25d^(2)-4ac+30bd

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

यदि triangleABC में (If इन triangleABC), a = (1)/(sqrt(6)-sqrt(2)), b = (1)/(sqrt(6)+sqrt(2)), C = 60^(@) तो सिद्ध कीजिए कि (Prove that) c = (sqrt(4))/(2) .

If a sec theta-c tan theta=d and b sec theta+d tan theta=c ,then prove that (c^(2)+d^(2))^(2)-(ac-bd)^(2)=(ad+bc)^(2)