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AP EAMCET202419 May 2024Evening ShiftMathematicsFunctionsActual

Statement (S1): 55^ + 53^ - 19^ - 17^ = 2^ . Statement (S2): Range of 1 3- 2 x is [ 1 4 , 1 2 ] Which one of the following is correct?

Options

  1. ABoth (S1) and (S2) are true
  2. BBoth (S1) and (S2) are false
  3. C( S 1) is true, (S2) is false
  4. D( S 1) is false, (S2) is true

Correct answer

D. ( S 1) is false, (S2) is true

Step-by-step solution

I. Since, 55^ + 53^ - 19^ - 17^ aligned & = ( 55^ - 17^ )+ ( 53^ - 19^ ) & =2 36^ 19^ +2 36^ 17^ & =2 36^ (2 18^ 1^ )=2 ( 5 -1 4 ) 2 ( 5 +1 4 ) 1^ & = 1^ . aligned II. Let f(x)= 1 3- 2 x aligned & Since, -1 - 2 x 1 & -1+3 3- 2 x 1+3 & 1 4 f(x) 1 2 aligned So, I is false and II is true.

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