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AP EAMCET20226 Jul 2022Morning ShiftMathematicsTrigonometric EquationsActual

Let a and b be non-negative real numbers. If x+a x = b , then | a x - x |=

Options

  1. Aa^2-b^2+1
  2. Bb^2-a^2+1
  3. C1+a^2+b^2
  4. Da^2+b^2-1

Correct answer

A. a^2-b^2+1

Step-by-step solution

Given x + a x = b ...(i) Let a x - x = ...(ii) on squanity and adding (i) and (ii) we got a ^2+1= b ^2+ ^2 a ^2- b ^2+1

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