MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the slope of the normal to the curve y=4x2-14x+5 at x=5. |
| A. | ( frac{1}{26} ) |
| B. | ( frac{1}{26} ) |
| C. | 26 |
| D. | -26 |
| Answer» B. ( frac{1}{26} ) | |
| 2. |
Find the tangent to the curve y=5x4-3x2+2x-1 at x=1. |
| A. | 15 |
| B. | 14 |
| C. | 16 |
| D. | 17 |
| Answer» D. 17 | |
| 3. |
Find the point at which the tangent to the curve y= ( sqrt{4x^2+1} )-2 has its slope2. |
| A. | ( ( frac{1}{ sqrt{12}} ),-1) and ( ( frac{1}{ sqrt{12}} ),-1) |
| B. | (- ( frac{1}{ sqrt{12}} ),3) and (- ( frac{1}{ sqrt{12}} ),-1) |
| C. | ( ( frac{1}{ sqrt{12}} ),2) and (- ( frac{1}{ sqrt{12}} ),-2) |
| D. | ( ( frac{1}{ sqrt{12}} ),3) and ( ( frac{1}{ sqrt{12}} ),-2) |
| Answer» D. ( ( frac{1}{ sqrt{12}} ),3) and ( ( frac{1}{ sqrt{12}} ),-2) | |
| 4. |
Find the equation of the tangent of the tangent to the curve 2x2+3y2=3 at the point(3,4). |
| A. | x+2y=11 |
| B. | x-2y=11 |
| C. | -x+2y=11 |
| D. | x-2y=-11 |
| Answer» B. x-2y=11 | |
| 5. |
Find the equation of the normal to the curve x=12 cosec and y=2 sec at x= /4 . |
| A. | ( frac{1}{6} ) |
| B. | -6 |
| C. | 6 |
| D. | ( frac{1}{6} ) |
| Answer» D. ( frac{1}{6} ) | |
| 6. |
Find the tangent to the curve y=7x3-2x2 at the point x=2. |
| A. | 67 |
| B. | 76 |
| C. | 46 |
| D. | 64 |
| Answer» C. 46 | |
| 7. |
Find the points on the curve y=3x4+2x3-1 at which the tangents is parallel to the x-axis. |
| A. | (0,1) and ((- frac{1}{2},- frac{15}{16}) ) |
| B. | (0,-1) and ((- frac{1}{2},- frac{15}{16}) ) |
| C. | (0,-1) and (( frac{1}{2},- frac{15}{16}) ) |
| D. | (0,1) and (( frac{1}{2}, frac{15}{16}) ) |
| Answer» C. (0,-1) and (( frac{1}{2},- frac{15}{16}) ) | |
| 8. |
Find the equation of all the lines having slope 0 which are tangent to the curve y=6x2-7x. |
| A. | ( frac{24}{49} ) |
| B. | ( frac{24}{49} ) |
| C. | ( frac{49}{24} ) |
| D. | ( frac{49}{24} ) |
| Answer» E. | |
| 9. |
Find the slope of the tangent to the curve x=4 cos3 3 and y=5 sin3 3 at = /4. |
| A. | ( frac{3}{4} ) |
| B. | ( frac{1}{4} ) |
| C. | ( frac{5}{4} ) |
| D. | ( frac{5}{4} ) |
| Answer» D. ( frac{5}{4} ) | |
| 10. |
Find the tangent to the curve y=3x2+x+4 at x=3. |
| A. | 19 |
| B. | 1.9 |
| C. | 18 |
| D. | 16 |
| Answer» B. 1.9 | |