Maths-
General
Easy

Question

The partial fractions of fraction numerator x to the power of 2 end exponent over denominator open parentheses x to the power of 2 end exponent plus a to the power of 2 end exponent close parentheses open parentheses x to the power of 2 end exponent plus b to the power of 2 end exponent close parentheses end fraction are

  1. fraction numerator 1 over denominator a to the power of 2 end exponent plus b to the power of 2 end exponent end fraction open square brackets fraction numerator a to the power of 2 end exponent over denominator x to the power of 2 end exponent plus a to the power of 2 end exponent end fraction minus fraction numerator b to the power of 2 end exponent over denominator x to the power of 2 end exponent plus b to the power of 2 end exponent end fraction close square brackets    
  2. fraction numerator 1 over denominator b to the power of 2 end exponent minus a to the power of 2 end exponent end fraction open square brackets fraction numerator a to the power of 2 end exponent over denominator x to the power of 2 end exponent plus a to the power of 2 end exponent end fraction minus fraction numerator b to the power of 2 end exponent over denominator x to the power of 2 end exponent plus b to the power of 2 end exponent end fraction close square brackets    
  3. fraction numerator 1 over denominator a to the power of 2 end exponent minus b to the power of 2 end exponent end fraction open square brackets fraction numerator a to the power of 2 end exponent over denominator x to the power of 2 end exponent plus a to the power of 2 end exponent end fraction minus fraction numerator b to the power of 2 end exponent over denominator x to the power of 2 end exponent plus b to the power of 2 end exponent end fraction close square brackets    
  4. fraction numerator 1 over denominator a to the power of 2 end exponent minus b to the power of 2 end exponent end fraction open square brackets fraction numerator 1 over denominator x to the power of 2 end exponent plus a to the power of 2 end exponent end fraction minus fraction numerator 1 over denominator x to the power of 2 end exponent plus b to the power of 2 end exponent end fraction close square brackets    

The correct answer is: fraction numerator 1 over denominator a to the power of 2 end exponent minus b to the power of 2 end exponent end fraction open square brackets fraction numerator a to the power of 2 end exponent over denominator x to the power of 2 end exponent plus a to the power of 2 end exponent end fraction minus fraction numerator b to the power of 2 end exponent over denominator x to the power of 2 end exponent plus b to the power of 2 end exponent end fraction close square brackets

Book A Free Demo

+91

Grade*