MCQOPTIONS
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MCQOPTIONS
This section includes 10 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. |
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 cosecθ and y=2 secθ at x=π/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 cos33θ and y=5 sin33θ at θ=π/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 | |