If f(x) = x - |x| |x| , then f( - 1) = - Vidyadip

MCQ

If $f(x) = \frac{{x - |x|}}{{|x|}}$, then $f( - 1) = $

A
$1$
✓
$-2$
C
$0$
D
$\pm 2$

✓

Answer

Correct option: B.

$-2$

b
(b) $f( - 1) = \frac{{ - 1 - | - 1|}}{{| - 1|}} = \frac{{ - 1 - 1}}{1} = - \,2$.

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 STD 11- 2. Relation and Function→STD 11- 2. Relation and Function — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

The directrix of the parabola $x^2- 4x - 8y + 12 = 0$ is

If $x = 2 + \sqrt 3 ,xy = 1,$ then ${x \over {\sqrt 2 + \sqrt x }} + {y \over {\sqrt 2 - \sqrt y }} = $

If $(a -2)x^2 + ay^2 = 4$ represents rectangular hyperbola, then $a$ equals :-

Let $w _1$ be the point obtained by the rotation of $z_1=5+4 i$ about the origin through a right angle in the anticlockwise direction, and $w_2$ be the point obtained by the rotation of $z_2=3+5 i$ about the origin through a right angle in the clockwise direction. Then the principal argument of $w _1- w _2$ is equal to $...........$.

Find the equation of line parallel to $x-$axis and passing through $(3, 4):$

If sum of all the coefficients in the expansion of $\Big(\text{x}^{\frac{3}{2}}+\text{x}^{\frac{1}{3}}\Big)^{\text{n}}$ is $128$, then the coefficient of $x^5$ is:

$\sum\limits^{4}_{\text{i = 1}}2\text{n}+3=............$

If the equations ${x^2} + 2x + 3 = 0$ and $a{x^2} + bx + c = 0,a,b,c \in R$ have a common root ,then $a:b:c = $ .. . .

In a increasing geometric series, the sum of the second and the sixth term is $\frac{25}{2}$ and the product of the third and fifth term is $25 .$ Then, the sum of $4^{\text {th }}, 6^{\text {th }}$ and $8^{\text {th }}$ terms is equal to

Let $E_1$ and $E_2$ be two ellipses whose centers are at the origin. The major axes of $E_1$ and $E_2$ lie along the $x$-axis and the $y$-axis, respectively. Let $S$ be the circle $x^2+(y-1)^2=2$. The straight line $x+y=3$ touches the curves $S, E_1$ ad $E_2$ at $P, Q$ and $R$, respectively. Suppose that $P Q=P R=\frac{2 \sqrt{2}}{3}$. If $e_1$ and $e_2$ are the eccentricities of $E_1$ and $E_2$, respectively, then the correct expression$(s)$ is(are)

$(A)$ $e_1^2+e_2^2=\frac{43}{40}$

$(B)$ $e_1 e_2=\frac{\sqrt{7}}{2 \sqrt{10}}$

$(C)$ $\left|e_1^2-e_2^2\right|=\frac{5}{8}$

$(D)$ $e_1 e_2=\frac{\sqrt{3}}{4}$