Question
The equation $\sin^{-1}\text{x}-\cos^{-1}\text{x}=\cos^{-1}(\frac{\sqrt3}{2})$ has:
  1. Nique solution.
  2. No solution.
  3. Infinitely many solution.
  4. None of these.

Answer

  1. Nique solution.

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

Similar questions

Let $[x]$ and $\{x\}$ be the integer part and fractional part of a real number $x$ respectively. The value of the integral $\int_0^5[x]\{x\} d x$ is
The range of values of the function $f\left( x \right) = \frac{1}{{2 - 3\sin x}}$ is
The reflection of the point $(\text{a}, \beta, \gamma) $ in the xy-plane is:
  1. $(\alpha,\beta,0)$
  2. $(0,0,\gamma)$
  3. $(-\alpha,-\beta,\gamma)$
  4. $(\alpha,\beta,\gamma)$
$\int\limits_{ - 1}^1 {\frac{{{x^4}}}{{1 + {e^{{x^7}}}}}dx\,}= $
Let : $\overrightarrow{ a }=\hat{ i }+2 \hat{ j }+3 \hat{ k }, \overrightarrow{ b }=\hat{ i }-\hat{ j }+2 \hat{ k }$ and $\vec{c}=5 \hat{i}-3 \hat{j}+3 \hat{k}$ be there vectors. If $\vec{r}$ is a vector such that, $\overrightarrow{ r } \times \overrightarrow{ b }=\overrightarrow{ c } \times \overrightarrow{ b }$ and $\overrightarrow{ r } \cdot \overrightarrow{ a }=0$. Then $25|\overrightarrow{ r }|^2$ is equal to
Given $f'(x) > 0$ and $g'(x) < 0\,\, \forall x \in R$, then-
Which of the following function $(s)$ is/are periodic ?
The order of the differential equation  ${{{y\left( \frac{dy}{dx} \right)=x}/{\frac{dy}{dx}+\left( \frac{dy}{dx} \right)}\;}^{3}}$  is
If the solution curve of the differential equation $\left(2 x-10 y^{3}\right) d y+y d x=0$, passes through the points $(0,1)$ and $(2, \beta)$, then $\beta$ is a root of the equation:
If $\left| {\begin{array}{*{20}{c}}
{a - b - c}&{2a}&{2a}\\
{2b}&{b - c - a}&{2b}\\
{2c}&{2c}&{c - a - b}
\end{array}} \right|$ $ = \left( {a + b + c} \right)\,{\left( {x + a + b + c} \right)^2}$ , $x   \ne 0$ and $a + b + c \ne 0$, then $x$ is equal to