MCQOPTIONS
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MCQOPTIONS
This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Complex Function Theory knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of the following functions are continuous at x=11? |
| A. | ( frac{1}{x^2+x-132} ) |
| B. | ( frac{1}{x^3-7x^2-40x-44} ) |
| C. | ( frac{1}{x^2-2x-143} ) |
| D. | ( frac{x-11}{x^3-23x^2+143x-121} ) |
| Answer» D. ( frac{x-11}{x^3-23x^2+143x-121} ) | |
| 2. |
Which of the following is discontinuous at x=9? |
| A. | ( frac{x^2-81}{x-9} ) |
| B. | ( frac{x^3-20x^2+117x-162}{x-9} ) |
| C. | ( frac{x^2-11x+18}{x(x-9)} ) |
| D. | ( frac{x^2-13x-90}{x-9} ) |
| Answer» E. | |
| 3. |
Which of the following is false if both f(x) and g(x) are continuous? |
| A. | f(x)+g(x) is continuous |
| B. | f(x)-g(x)is continuous |
| C. | f(x)*g(x)is continuous |
| D. | ( frac{f(x)}{g(x)} ) is continuous |
| Answer» E. | |
| 4. |
Which of the following is true about f(x)=sinx+cosx? |
| A. | Continuous everywhere |
| B. | Continuous at x= ( frac{ pm n pi}{2} ), where n is any integer |
| C. | Continuous at x= ( frac{ pm (n+1) pi}{2} ), where n is any integer |
| D. | Continuous at x=0 |
| Answer» B. Continuous at x= ( frac{ pm n pi}{2} ), where n is any integer | |
| 5. |
Which of the following is true about f(x)=tanx? |
| A. | Continuous at x= ( frac{ pi}{2} ) |
| B. | Continuous at x= (- frac{3 pi}{2} ) |
| C. | Continuous at x=0 |
| D. | Continuous at x= ( frac{3 pi}{2} ) |
| Answer» D. Continuous at x= ( frac{3 pi}{2} ) | |
| 6. |
The function f(x)= ( frac{e^{-x}}{x(x-5)(x+2)} ) is continuous at which of the following? |
| A. | 0 |
| B. | 2 |
| C. | 5 |
| D. | The function is continuous at all points |
| Answer» C. 5 | |
| 7. |
The function f(x)= ( frac{1}{x^3-3x^2-10x+24} )is continuous at which of the following? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 8. |
If f(x)= ( frac{x+3}{x^2-5x} )and g(x)= ( frac{x-3}{x^2-6x} ), then which of the following is correct? |
| A. | f(x) is continuous at x=1 and g(x) is continuous at x=0 |
| B. | f(x) is discontinuous at x=6 and g(x) is discontinuous at x=5 |
| C. | f(x) is continuous at x=5 and g(x) is discontinuous at x=0 |
| D. | f(x) is discontinuous at x=5 and g(x) is continuous at x=5 |
| Answer» C. f(x) is continuous at x=5 and g(x) is discontinuous at x=0 | |
| 9. |
If f(x)= ( frac{x+3}{x^2-5x+6} ) and g(x)= ( frac{x-3}{x^2-6x+8} ), then which of the following is correct? |
| A. | f(x) is continuous at x=2 and g(x) is continuous at x=2 |
| B. | f(x) is discontinuous at x=3 and g(x) is discontinuous at x=2 |
| C. | f(x) is continuous at x=4 and g(x) is discontinuous at x=4 |
| D. | f(x) is discontinuous at x=3 and g(x) is continuous at x=2 |
| Answer» C. f(x) is continuous at x=4 and g(x) is discontinuous at x=4 | |
| 10. |
f(x, y)= ( frac{3xy+3y+3x}{5x+5y} ) continuous at origin. |
| A. | True |
| B. | False |
| Answer» C. | |
| 11. |
The function f(x, y)= ( frac{2xy-3x}{3x-2y} ) is continuous at (1, 1). |
| A. | True |
| B. | False |
| Answer» C. | |
| 12. |
The function f(x, y)= ( frac{x^2(2xy-3x)+9y}{3x-2y} ) is which of the following? |
| A. | Discontinuous at origin |
| B. | Discontinuous at (1, 1) |
| C. | Continuous at origin |
| D. | Discontinuous at (2, 2) |
| Answer» B. Discontinuous at (1, 1) | |