MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If, y = 1/(1 + x + x2 + x3), then what is the value of y at x = 0? |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | |
| Answer» D. | |
| 2. |
What is the value of (dy/dx)2 + 1 if x = a sin2 (1 + cos2 ) and y = a cos2 (1 cos2 )? |
| A. | Tan<sup>2</sup> |
| B. | Cosec<sup>2</sup> |
| C. | Cot<sup>2</sup> |
| D. | Sec<sup>2</sup> |
| Answer» E. | |
| 3. |
If y = (3x 4)/(x+2) then what s the value of dy/dx? |
| A. | dy/dx |
| B. | y |
| C. | 1/ (dy/dx) |
| D. | A constant |
| Answer» D. A constant | |
| 4. |
What is the number of critical points for f(x) = max(sinx, cosx) for x belonging to (0, 2 )? |
| A. | 2 |
| B. | 5 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 5. |
What will be the value of dy/dx if x = asec2 and y = atan3 at = /4? |
| A. | 1/2 |
| B. | 3/4 |
| C. | 3/2 |
| D. | 1/4 |
| Answer» D. 1/4 | |
| 6. |
What is the number of critical points of f(x) = |x2 1| / x2? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 7. |
If functions f(x) and g(x) are continuous in [a, b] and differentiable in (a, b) then which of the following is correct if there exists at least one point c, a < c < b, such that ( begin{vmatrix}f(a) & f(b) g(a) & g(b) end {vmatrix} )? |
| A. | (b + a) ( begin{vmatrix}f(a) & f (c) g(a) & g (c) end {vmatrix} ) |
| B. | (b a) ( begin{vmatrix}f(a) & f (c) g(a) & g (c) end {vmatrix} ) |
| C. | (b + a) ( begin{vmatrix}f(a) & f'(c) g(a) & g'(c) end {vmatrix} ) |
| D. | (b a) ( begin{vmatrix}f(a) & f'(c) g(a) & g'(c) end {vmatrix} ) |
| Answer» E. | |
| 8. |
If ( lim limits_{x rightarrow a} frac{(a^x-x^a)}{x^x-a^a} ) = -1 then, what is the value of a? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 9. |
If A (x1, y1) and B (x2, y2) be two points on the curve y = ax2 + bx + c, then as perLagrange s mean value theorem whichof the following is correct? |
| A. | At least one point C(x<sub>3</sub>, y<sub>3</sub>) where the tangent will be intersecting the chord AB |
| B. | At least one point C(x<sub>3</sub>, y<sub>3</sub>) where the tangent will be overlapping to the chord AB |
| C. | At least two points where the tangent will be parallel to the chord AB |
| D. | At least one point C(x<sub>3</sub>, y<sub>3</sub>) where the tangent will be parallel to the chord AB |
| Answer» E. | |