MCQOPTIONS
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MCQOPTIONS
This section includes 54 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
The function 'f' is defined by \[f(x)=2x-1,\]if \[x>2\], \[f(x)=k\ \]if\[x=2\]and \[{{x}^{2}}-1,\]if \[x<2\]is continuous, then the value of k is equal to [Pb. CET 2002] |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | ?3 |
| Answer» C. 4 | |
| 52. |
Let \[f(x)=\left\{ \begin{align} & {{x}^{2}}+k,\ \ \ \ \text{when}\ \ x\ge 0 \\ & -{{x}^{2}}-k,\ \ \text{when }x<0 \\ \end{align} \right.\]. If the function\[f(x)\] be continuous at \[x=0\], then k = |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | ?2 |
| Answer» B. 1 | |
| 53. |
If the function \[f(x)=\left\{ \begin{align} & {{(\cos x)}^{1/x}},\ x\ne 0 \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,k,\,x=0 \\ \end{align} \right.\]is continuous at \[x=0\], then the value of k is [Kurukshetra CEE 1996] |
| A. | 1 |
| B. | ?1 |
| C. | 0 |
| D. | e |
| Answer» B. ?1 | |
| 54. |
If \[f(x)=|x-b|,\]then function[AI CBSE 1984] |
| A. | Is continuous at \[x=1\] |
| B. | Is continuous at \[x=b\] |
| C. | Is discontinuous at\[x=b\] |
| D. | None of these |
| Answer» C. Is discontinuous at\[x=b\] | |