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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Basics of Mathematics

NDA 2018 · Mathematics · Basics of Mathematics

Consider the following expressions: 1. x+x^2- 1 x 2. a x^2+b...

Consider the following expressions: 1. x+x2−1x\mathrm{x}+\mathrm{x}^2-\frac{1}{\mathrm{x}} 2. ax2+bx+x−c+dc−ex2\sqrt{a x^2+b x+x-c+\frac{d}{c}-\frac{e}{x^2}} 3. 3x2−5x+ab3 x^2-5 x+a b 4. 2x2−ax+b3\frac{2}{\mathrm{x}^2-\mathrm{ax}+\mathrm{b}^3} 5. 1x−2x+5\frac{1}{x}-\frac{2}{x+5} Which of the above are rational expressions?

Options

  1. A1,4 and 5 only
  2. B1, 3, 4 and 5 only
  3. C2,4 and 5 only
  4. D1 and 2 only

Correct answer

B. 1, 3, 4 and 5 only

Step-by-step solution

A rational expression is nothing more than a fraction in which the numerator and denominator are polynomials. Here are some example of rational expressions are (x+x2+1x)\left(x+x^2+\frac{1}{x}\right), \left(3 x²-5 x+a b\right),,\frac{2}{x^2-a x+a b}
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