Home
Class 12
MATHS
If (In a)/((b-c))=(In b)/((c-a))=(In c)/...

If `(In a)/((b-c))=(In b)/((c-a))=(In c)/((a-b)),` prove that `a^(b+c)*b^(c+a)*c^(a+b)=1 a^(b+c)+b^(c+a)+c^(a+b) >= 3.`

Promotional Banner

Similar Questions

Explore conceptually related problems

If (Ina)/((b-c)) =(Inb)/((c-a))=(Inc)/((a-b)) ,Prove that a^(b+c).b^(c+a).c^(a+b)=1

If (Ina)/((b-c)) =(Inb)/((c-a))=(Inc)/((a-b)) ,Prove that a^(b+c).b^(c+a).c^(a+b)=1

If (Ina)/((b-c)) =(Inb)/((c-a))=(Inc)/((a-b)) ,Prove that a^(b+c).b^(c+a).c^(a+b)=1

If (log a)/(b-c)=(log b)/(c-a)=(log c)/(a-b), then prove that (a^(a))(b^(c))(c^(c))=1

If (a(b+c-a))/(loga) = (b(c+a-b))/(logb) = (c(a+b-c))/(logc) , then prove that b^(c ) . c^(b) = a^(c ).c^(a) = a^(b).b^(a) .

Prove that : |{:(1,b,c),(b,c,a),(c,a,b):}|=3 a b c-a^(3)-b^(3)-c^(3)

Prove that : |{:(a,b,c),(b,c,a),(c,a,b):}|=3 a b c-a^(3)-b^(3)-c^(3)

Prove that |b+c a a b c+a b c c a+b |

If a+b+c=0 , then prove that a(c+a)(a+b)=b(a+b)(b+c)=c(a+c)(b+c)=abc

Prove that |(1, a, a^3),(1, b, b^3),(1, c, c^3)| = (a-b)(b-c)(c-a)(a+b+c).