MCQOPTIONS
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MCQOPTIONS
This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Curve Tracing knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the value of the given limit, \(\lim_{x\to 0}\frac{25}{x}\)? |
| A. | 25 |
| B. | 0 |
| C. | \(\frac{1}{2}\) |
| D. | \(\frac{3}{2}\) |
| Answer» B. 0 | |
| 2. |
Which of the following is not correct regarding Folium of Descartes? |
| A. | The equation is third degree in both x and y |
| B. | Its asymptote is given by x+y+a=0 |
| C. | It is symmetrical about y = x |
| D. | It forms a loop in the second quadrant |
| Answer» E. | |
| 3. |
At the point where \(\frac{dy}{dx}=∞,\) the tangent is parallel to y axis. |
| A. | False |
| B. | True |
| Answer» C. | |
| 4. |
The polar coordinates of strophoid is given by\(r=f(θ)±\sqrt{(f(θ)cosθ-a)^2+(f(θ)sinθ-b)^2}. \) |
| A. | False |
| B. | ^2}. \) a) Falseb) True |
| Answer» C. | |
| 5. |
Which of the following represents the correct cartesian equation for Lemniscate of Bernoulli? |
| A. | (x2+y2)2=2a2 (x2-y2) |
| B. | (x2+y)2=2a2 (x2-y2) |
| C. | (x2+y2)2=2(x2-y2) |
| D. | (x2+y2)2=a2 (x2-y2) |
| Answer» B. (x2+y)2=2a2 (x2-y2) | |
| 6. |
Which of the following represents the polar equation of Cissoid of Diocles? |
| A. | r=2a*tanθ*sinθ |
| B. | r=a*tanθ*sinθ |
| C. | r=a*tanθ*cosθ |
| D. | r=2ax*tanθ*sinθ |
| Answer» B. r=a*tanθ*sinθ | |
| 7. |
In geometry, the folium of Descartes is an algebraic curve defined by the equationx3+y3+3xy=0. |
| A. | True |
| B. | False |
| Answer» C. | |