58 If A1A=B1B=C1C, ABC+BAC+CAB=729 Which of the following equals A1A 1 81ABC2 - Maths - Factorisation

Question

58 If A 1 A = B 1 B = C 1 C ,   A B C + B A C + C A B = 729
Which of the following equals A 1 A ?
1     81 A B C 2     2 3     27 A B C
4   9 A B C

Neha Sethi · Accepted Answer

Dear student
A1A=B1B=C1C 
1⇒ABC=BAC=CAB=X some variable  By raising to power ABCConsider, ABC+BAC+CAB=7293X=729X=243  
2For 1 to hold  it should satisfyA=B=C=kSo, from 2KK2=243=35Please recheck the options
Regards

58. If A 1 A = B 1 B = C 1 C , A B C + B A C + C A B = 729 . Which of the following equals A 1 A ? 1 . 81 A B C 2 . 2 3 . 27 A B C 4 . 9 A B C

58. If $A^{\frac{1}{A}} = B^{\frac{1}{B}} = C^{\frac{1}{C}}, A^{B C} + B^{A C} + C^{A B} = 729 .$ Which of the following equals $A^{\frac{1}{A}}$ ?
$1 . \sqrt[A B C]{81} 2 . \sqrt{2} 3 . \sqrt[A B C]{27} 4 . \sqrt[A B C]{9}$