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AP EAMCET20227 Jul 2022Morning ShiftMathematicsProperties of TrianglesActual

In A B C , if 3 A+4 B=6 and 4 B+3 A=1 , then the C is

Options

  1. A2
  2. B3
  3. C4
  4. D6

Correct answer

D. 6

Step-by-step solution

3 A+4 B=6 ...(i) 4 B+3 A=1 ...(ii) On adding Eqs. (i) and (ii) after taking square, aligned & (9 ^2 A+24 A B+16 ^2 B )+ & (16 ^2 B+24 B A+9 ^2 A )=37 aligned aligned 9 ( ^2 A+ ^2 A )+16 ( ^2 B . & .+ ^2 B ) & +24 (A+B)=37 aligned aligned & 9+16+24 (A+B)=37 & 24 (A+B)=12 & (A+B)= 1 2 & A+B= 6 , 5 6 aligned aligned & A+B>C & A+B= 5 6 aligned Hence, C= - 5 6 = 6 [ A+B+C= ]

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