If =4 and -3< <2 then the range of is: - Vidyadip

MCQ

If $\mid\text{a}\mid=4$ and $-3\underline{<}\lambda\underline{<}2$ then the range of $\mid\lambda\text{a}\mid$ is:

A
$[0, 8]$
B
$[-12, 8]$
✓
$[0, 12]$
D
$[8, 12]$

✓

Answer

Correct option: C.

$[0, 12]$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from VECTOR ALGEBRA→VECTOR ALGEBRA — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The acute angle between the line joining the points $(2,1,-3), (-3,1,7)$ and a line parallel to $\frac{{x - 1}}{3} = $ $\frac{y}{4} = \frac{{z + 3}}{5}$ through the point $(-1, 0, 4)$ is

If $a = 3i - j + 2k,$ $b = 2i + j - k,$ then $a \times (a\,.\,b) = $

Let $\sin\text{y}=\text{x}\sin(\text{a}+\text{y}),$ then $\frac{\text{dy}}{\text{dx}}$ is:

$Q^{+}$ denote the set of all positive rational numbers. If the binary operation $\text{a }\odot$ on $Q^{+}$ is defined as: $\text{a }\odot=\frac{\text{ab}}{2}$, then the inverse of $3$ is:

The existence of the unique solution of the system of equations:
$x + y + z = \lambda $
$5x − y + µz = 10$
$2x + 3y − z = 6$
depends on

The determinant $\,\left| {\,\begin{array}{*{20}{c}}1&1&1\\1&2&3\\1&3&6\end{array}\,} \right|$ is not equal to

Let $A , B , C$ be three points whose position vectors respectively are: $\overrightarrow{ a }=\hat{ i }+4 \hat{ j }+3 \hat{ k }$ ; $\overrightarrow{ b }=2 \hat{ i }+\alpha \hat{ j }+4 \hat{ k }, \alpha \in R$ ;$\overrightarrow{ c }=3 \hat{ i }-2 \hat{ j }+5 \hat{ k }$ . If $\alpha$ is the smallest positive integer for which $\vec{a}, \vec{b}, \vec{c}$ are non-collinear, then the length of the median, in $\triangle ABC$, through $A$ is

The probability that a randomly chosen $2 \times 2$ matrix with all the entries from the set of first $10$ primes, is singular, is equal to

The area bounded by the y-axis, $\text{y}=\cos\text{x}$ and $\text{y}=\sin\text{x}$ when $0\leq\text{x}\leq\frac{\pi}{2}$ is:

Let $f(1) = -2$ and $f'(x) \ge 4.2$ for $1 \le x \le 6$. The possible value of $f(6)$ lies in the interval