MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Numerical Analysis knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The Newton Raphson method fails if __________ |
| A. | f’(x0)=0 |
| B. | f’’(x0)=0 |
| C. | f(x0)=0 |
| D. | f’’’(x0)=0 |
| Answer» B. f’’(x0)=0 | |
| 2. |
At which point the iterations in the Newton Raphson method are stopped? |
| A. | When the consecutive iterative values of x are not equal |
| B. | When the consecutive iterative values of x differ by 2 decimal places |
| C. | When the consecutive iterative values of x differ by 3 decimal places |
| D. | When the consecutive iterative values of x are equal |
| Answer» E. | |
| 3. |
The equation f(x) is given as x2-4=0. Considering the initial approximation at x=6 then the value of next approximation correct upto 2 decimal places is given as __________ |
| A. | 3.33 |
| B. | 1.33 |
| C. | 2.33 |
| D. | 4.33 |
| Answer» B. 1.33 | |
| 4. |
For what values of 0 the initial guess will be equal to the next iterative values? |
| A. | 70 degrees |
| B. | 90 degrees |
| C. | 100 degrees |
| D. | 55 degrees |
| Answer» C. 100 degrees | |
| 5. |
In Newton Raphson method if the curve f f(x) is constant then __________ |
| A. | f’’(x)=0 |
| B. | f(x)=0 |
| C. | f’(x)=0 |
| D. | f’(x)=c |
| Answer» D. f’(x)=c | |
| 6. |
If f(x) = x2 – 153 = 0 then the iterative formula for Newton Raphson Method is given by __________ |
| A. | x(n+1) = 0.5 [x(n)+\(\frac{153}{x(n)}\)] |
| B. | x(n+1) = 0.5 [x(n)-\(\frac{153}{x(n)}\)] |
| C. | x(n+1) = [x(n)+\(\frac{153}{x(n)}\)] |
| D. | x(n+1) = [x(n)-\(\frac{153}{x(n)}\)] |
| Answer» B. x(n+1) = 0.5 [x(n)-\(\frac{153}{x(n)}\)] | |
| 7. |
The Iterative formula for Newton Raphson method is given by __________ |
| A. | x1 = x0-f(x0)/f’(x0) |
| B. | x0 = x1-f(x0)/f‘(x0) |
| C. | x0 = x1+f(x0)/f’(x0) |
| D. | x1 = x0+f(x0)/f‘(x0) |
| Answer» B. x0 = x1-f(x0)/f‘(x0) | |
| 8. |
The Newton-Raphson method of finding roots of nonlinear equations falls under the category of which of the following methods? |
| A. | bracketing |
| B. | open |
| C. | random |
| D. | graphical |
| Answer» C. random | |
| 9. |
The equation f(x) is given as x3 – x2 + 4x – 4 = 0. Considering the initial approximation at x=2 then the value of next approximation correct upto 2 decimal places is given as __________ |
| A. | 0.67 |
| B. | 1.33 |
| C. | 1.00 |
| D. | 1.50 |
| Answer» C. 1.00 | |
| 10. |
Rate of convergence of the Newton-Raphson method is generally __________ |
| A. | Linear |
| B. | Quadratic |
| C. | Super-linear |
| D. | Cubic |
| Answer» B. Quadratic | |