MCQ
The equation $2\cos^{-1}\text{x}+\sin^{-1}\text{x}=\frac{11\pi}{6}$ has:
  • No solution.
  • B
    Only one solution.
  • C
    Two solutions.
  • D
    Three solutions.

Answer

Correct option: A.
No 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

The point at which the maximum value of $x + y,$ subject to the constraints $x + 2y \leq 70, 2x + y \leq 95, x, y \geq 0$ isobtained, is :
The slope of the tangent to the curve $x=t^2+3 t-8, y=2 t^2-2 t-5$ at the point $(2,-1)$ is:
Let $a ,b ,c $ be such that $b + c \ne 0$  if

$\left| {\begin{array}{*{20}{c}}a&{a + 1}&{a - 1}\\{ - b}&{b + 1}&{b - 1}\\c&{c - 1}&{c + 1}\end{array}} \right| + \left| {\begin{array}{*{20}{c}}{a + 1}&{b + 1}&{c - 1}\\{a - 1}&{b - 1}&{c + 1}\\{{{\left( { - 1} \right)}^{n + 2}} \cdot a}&{{{\left( { - 1} \right)}^{n + 1}} \cdot b}&{{{\left( { - 1} \right)}^n} \cdot c}\end{array}} \right| = 0$ then $n$ equals to

An extremum value of $y =\int\limits_0^x { (t - 1) (t - 2) dt}$ is
Let $y=y(x)$ satisfies the equation $\frac{d y}{d x}-|A|=0$, for all $x>0$, where $A=\left[\begin{array}{ccc}y & \sin x & 1 \\ 0 & -1 & 1 \\ 2 & 0 & \frac{1}{x}\end{array}\right] .$

If $y(\pi)=\pi+2$, then the value of $y\left(\frac{\pi}{2}\right)$ is:

If a line has the direction ratio $18, 12, 4,$ then its direction cosines are:
The co-ordinates of the point in which the line joining the points $(3,\,\;5,\; - 7)$ and $( - 2,\,\;1,\,\;8)$ is intersected by the plane $yz$ are given by
The function $f(x) = {[x]^2} - [{x^2}]$, (where $[y]$ is the greatest integer less than or equal to $y$),is discontinuous at
The area bounded by the curve $\text{y}^2=16\text{x}$ and line $\text{y}=\text{ mx} $ is $\frac{2}{3},$ then $m$ is equal to:
If two vectors $\vec{a}$ and $\vec{b}$ are such that $|\vec{a}|=2,|\vec{b}|=3$ and $\vec{a} \cdot \vec{b}=4$, then $|\vec{a}-2 \vec{b}|$ is equal to