MCQOPTIONS
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MCQOPTIONS
This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
For the given equation (x+2) (x+4) = x2 + 6x + 8, how many values of x satisfies this equation? |
| A. | Two values of x |
| B. | One value of x |
| C. | All value of x |
| D. | No value of x |
| Answer» D. No value of x | |
| 2. |
Identify the type of the equation (x+1)2. |
| A. | Linear equation |
| B. | Cubic equation |
| C. | Identity |
| D. | Imaginary |
| Answer» D. Imaginary | |
| 3. |
\(\int \frac{(x^2+x+1)dx}{(x+2)(x^2+1)}\) equals ______ |
| A. | \(\frac{3}{5}log|x+2| + \frac{1}{5}log|x^2+1|+\frac{1}{5} tan^{-1}x+5C\) |
| B. | \(\frac{3}{5}log|x+2| + \frac{1}{5}log|x^2+1|+\frac{1}{6} tan^{-1}x+C\) |
| C. | \(\frac{3}{5}log|x+2| + \frac{1}{6}log|x^2+1|+\frac{1}{6} tan^{-1}x+C\) |
| D. | \(\frac{3}{5}log|x+2| + \frac{1}{5}log|x^2+1|+\frac{1}{5} tan^{-1}x+C\) |
| Answer» E. | |
| 4. |
Which form of rational function \(\frac{px+q}{(x-a)^2}\) represents? |
| A. | \(\frac{A}{(x-a)} + \frac{B}{(x-a)^2}\) |
| B. | \(\frac{A}{(x-a)^2} + \frac{B}{(x-a)}\) |
| C. | \(\frac{A}{(x-a)} – \frac{B}{(x-a)^2}\) |
| D. | \(\frac{A}{(x-a)} – \frac{B}{(x-a)}\) |
| Answer» B. \(\frac{A}{(x-a)^2} + \frac{B}{(x-a)}\) | |
| 5. |
\(\int \frac{dx}{(x^2-9)}\) equals ______ |
| A. | \(\frac{1}{6} log \frac{x+3}{x-3}\) + C |
| B. | \(\frac{1}{6} log \frac{x-3}{x+3}\) + C |
| C. | \(\frac{1}{5} log \frac{x+3}{x-3}\) + C |
| D. | \(\frac{1}{3} log \frac{x+3}{x-3}\) + C |
| Answer» C. \(\frac{1}{5} log \frac{x+3}{x-3}\) + C | |
| 6. |
\(\int \frac{dx}{x(x^2+1)}\) equals ______ |
| A. | \(log|x| – \frac{1}{2} log(x^2+1)\) + C |
| B. | \(log|x| + \frac{1}{2} log(x^2+1)\) + C |
| C. | –\(log|x| + \frac{1}{2} log(x^2+1)\) + C |
| D. | \(\frac{1}{2} log|x| + log(x^2+1)\) + C |
| Answer» B. \(log|x| + \frac{1}{2} log(x^2+1)\) + C | |
| 7. |
Find \(\int \frac{dx}{(x+1)(x+2)}\). |
| A. | \(Log \left|\frac{x+1}{x+2}\right|+ C\) |
| B. | \(Log \left|\frac{x-1}{x+2}\right|+ C\) |
| C. | \(Log \left|\frac{x+2}{x+1}\right|+ C\) |
| D. | \(Log \left|\frac{x+1}{x-2}\right|+ C\) |
| Answer» B. \(Log \left|\frac{x-1}{x+2}\right|+ C\) | |
| 8. |
Find \(\int \frac{x^2+1}{x^2-5x+6} dx\). |
| A. | x – 5log|x-2| + 10log|x-3|+C |
| B. | x – 3log|x-2| + 5log|x-3|+C |
| C. | x – 10log|x-2| + 5log|x-3|+C |
| D. | x – 5log|x-5| + 10log|x-10|+C |
| Answer» B. x – 3log|x-2| + 5log|x-3|+C | |
| 9. |
What form of rational function \(\frac{px+q}{(x-a)(x-b)}\), a≠b represents? |
| A. | \(\frac{A}{(x-a)}\) |
| B. | \(\frac{B}{(x-b)}\) |
| C. | \(\frac{A+B}{(x-a)(x-b)}\) |
| D. | \(\frac{A}{(x-a)} + \frac{B}{(x-b)}\) |
| Answer» E. | |