Home
Class 12
MATHS
If (Ina)/((b-c)) =(Inb)/((c-a))=(Inc)/((...

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

Text Solution

Verified by Experts

The correct Answer is:
`a^(b+c)b^(c+a)c^(a+b)` `ge3`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|5 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|5 Videos
  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|5 Videos
  • MATHEMATICAL INDUCTION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

If (Ina)/(b-c)=(Inb)/(c-a)=(Inc)/(a-b) , prove the following . abc=1

If (Ina)/(b-c)=(Inb)/(c-a)=(Inc)/(a-b) , prove the following . a+b+cge3

If (Ina)/(b-c)=(Inb)/(c-a)=(Inc)/(a-b) , prove the following . a^a.b^b.c^c=1

If (Ina)/(b-c)=(Inb)/(c-a)=(Inc)/(a-b) , prove the following . a^a+b^b+c^cge3

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

If f(a,b) =(f(b)-f(a))/(b-a) and f(a,b,c)=(f(b,c)-f(a,b))/(c-a) prove that f(a,b,c)=|{:(f(a),f(b),f(c)),(1,1,1),(a,b,c):}|-:|{:(1,1,1),(a,b,c),(a^(2),b^(2),c^(2)):}| .

If a/(b+c),b/(c+a),c/(a+b) are in A.P. and a+b+c!=0 prove that 1/(b+c),1/(c+a),1/(a+b) are in A.P.

If (a-b),\ (b-c),(c-a) are in G.P. then prove that (a+b+c)^2=3(a b+b c+c a)

Prove that : |{:(a+b,b+c,c+a),(c,a,b),(1,1,1):}|

If (b+c-a)/(a) , (c+a-b)/(b) , (a+b-c)/(c) are in A.P. then prove that (1)/(a),(1)/(b),(1)/(c) are also in A.P.