Question:
If \( |a| = 2 \) and \( -3 \leq k \leq 2 \), then \( |a| |k| \in: \)
If \( |a| = 2 \) and \( -3 \leq k \leq 2 \), then \( |a| |k| \in: \)
Show Hint
To find ranges of products, compute the extreme values by multiplying corresponding endpoints.
Updated On: Jan 29, 2025
- \( [-6, 4] \)
- \( [0, 6] \)
- \( [4, 6] \)
- \( [0, 6] \)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Since \( |a| = 2 \) and \( |k| \in [0, 3] \) (from \( k \in [-3, 2] \)), the range of \( |a| |k| \) is:
\[
|a| |k| \in [2 \cdot 0, 2 \cdot 3] = [0, 6].
\]
Final Answer: \( \boxed{{(D)}} \)
Final Answer: \( \boxed{{(D)}} \)
Was this answer helpful?
0
0
Top Questions on Matrix
- If \( A = \begin{bmatrix} 1 & 0 \\ -1 & 5 \end{bmatrix} \), then find the value of \( K \) if \( A^2 = 6A + K I_2 \), where \( I_2 \) is the identity matrix.
- Find the value of $x$, if \[ \begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 & 1 \\ 15 & 3 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ x \\ 2 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix} \]
- If \( A = \begin{pmatrix} 1 & -1 \\ 2 & 3 \end{pmatrix} \) is a \( 2 \times 2 \) matrix, then the eigenvalues of the matrix \( 2A^2 - 4A + 5I \) are ______, where \( I \) is the \( 2 \times 2 \) unit matrix.
- Let \( A \) be a \(3 \times 3\) matrix and \( B = 2A^2 + A^{-1} - I \), where \( I \) is a \(3 \times 3\) identity matrix. If the eigenvalues of \( A \) are 1, –1 and 2, then the trace of \( B \) is ________
- Let \( A = \begin{bmatrix} a+1 & b & c \\ a & b+1 & c \\ a & b & c+1 \end{bmatrix} \). If determinant of the matrix \( A \) is zero, then \( (a + b + c)^3 = \_\_\_\_\_\_ \)
View More Questions
Questions Asked in CBSE CLASS XII exam
- Explain any two makeup removal techniques.
- CBSE CLASS XII - 2025
- Makeup Techniques and Tools
- Describe in detail, as to how to book an appointment in the salon.
- CBSE CLASS XII - 2025
- Basic Salon Management Skills
- Describe the procedure of lymphatic drainage facial and its contraindications.
- CBSE CLASS XII - 2025
- facial equipment
- How will you provide a caring environment to your client to make her feel comfortable? Explain.
- CBSE CLASS XII - 2025
- Basic Salon Management Skills
- Explain the importance of storage area.
- CBSE CLASS XII - 2025
- Basic Salon Management Skills
View More Questions