If ^ -1 x=y, then

Statement $-2$ : The function $f(x) = x\, log\, x$ is an increasing function in $[1, 2]$ and $g (x) = 2 -x$ is a decreasing function in $[ 1 , 2]$ and the graphs represented by these functions intersect at a point in $[ 1 , 2]$

→

The value of f(0), so that the function $\text{f(x)}=\frac{\sqrt{\text{a}^2+\text{ax+x}^2}-\sqrt{\text{a}^2+\text{ax+x}^2}{}}{\sqrt{\text{a+x}}-\sqrt{\text{a-x}}}$ becomes continuous for all x, given by:

$\text{a}^{\frac{3}{2}}$
$\text{a}^{\frac{1}{2}}$
$-\text{a}^{\frac{1}{2}}$
$-\text{a}^{\frac{3}{2}}$

→

The function $f(x) = \;|px - q|\; + r|x|,\;x \in ( - \infty ,\;\infty )$, where $p > 0,\;q > 0,\;r > 0$ assumes its minimum value only at one point, if

→

The void relation on a set $A$ is

→

If $A = \left[ {\begin{array}{*{20}{c}}1&2\\3&{ - 5}\end{array}} \right]$, then ${A^{ - 1}}$=

→

Consider the equation $\int_1^e \frac{\left(\log _e x \right)^{1 / 2}}{ x \left(a-\left(\log _{ e } x \right)^{3 / 2}\right)^2} dx =1, \quad a \in(-\infty, 0) \cup(1, \infty)$.

Which of the following statements is/are $TRUE$ ?

$(A)$ No $a$ satisfies the above equation

$(B)$ An integer $a$ satisfies the above equation

$(C)$ An irrational number $a$ satisfies the above equation

$(D)$ More than one $a$ satisfy the above equation

→

If $\text{A}=\frac{1}{3}\begin{bmatrix} 1 & 1 & 2 \\ 2 & 1 & -2 \\ \text{x} & 2 & \text{y} \end{bmatrix}$ is prthogonal, than x + y =

3
0
-3
1

→

The probability that in a year of 22^nd century chosen at random, there will be 53 Sunday, is

$\frac{3}{28}$
$\frac{2}{28}$
$\frac{7}{28}$
$\frac{5}{28}$

→

Let $3f(x) - 2f(1/x) = x,$ then $f'(2)$ is equal to

→

2. inverse trigonometric function — Maths STD 12 Science — Question

Answer

Need a full question paper?

Explore more

Similar questions