MCQ
The equation $\sin x\cos x = 2$ has
  • A
    One solution
  • B
    Two solutions
  • C
    Infinite solutions
  • No solutions

Answer

Correct option: D.
No solutions
d
(d) $\sin x\cos x = 2$ or $\sin 2x = 4$, which is impossible.

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 area of the region bounded by the curve $y = x|x|$, $x-$ axis and the ordinates $x = 1,\,\,x = - 1$ is given by
Let $\omega$ be a complex cube root of unity with $\omega \neq 1$ and $P=\left[p_j\right]$ be a $n \times n$ matrix with $p_{i j}=\omega^{i+j}$. Then $P ^2 \neq 0$, when $n =$

$(A)$ $57$ $(B)$ $55$ $(C)$ $58$ $(D)$ $56$

The matrix $\left( {\begin{array}{*{20}{c}}1&a&2\\1&2&5\\2&1&1\end{array}} \right)$ is not invertible, if  $‘a’ $ has the value
$\mathop {Lim}\limits_{n\,\, \to \,\,\infty } $ $\frac{{{1^2}\,\,n\,\, + \,\,{2^2}\,\,(n\, - \,1)\,\, + \,\,{3^2}\,\,(n\, - \,2)\,\, + \,\,.....\,\, + \,\,{n^2}\,.\,\,1}}{{{1^3}\,\, + \,\,{2^3}\,\, + \,\,{3^3}\,\, + \,\,......\,\, + \,\,{n^3}}}$ is equal to :
The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon is
Tangents drawn at the ends of any focal chord of a parabola ${y^2} = 4ax$ intersect in the line
Let the hyperbola $H : \frac{ x ^{2}}{ a ^{2}}- y ^{2}=1$ and the ellipse $E: 3 x^{2}+4 y^{2}=12$ be such that the length of latus rectum of $H$ is equal to the length of latus rectum of $E$. If $e_{ H }$ and $e_{ E }$ are the eccentricities of $H$ and $E$ respectively, then the value of $12\left( e _{ H }^{2}+ e _{ E }^{2}\right)$ is equal to
Find the value of $\frac{{({{18}^3} + {7^3} + 3.18.7.25)}}{{{3^6} + 6.243.2 + 15.81.4 + 20.27.8 + 15.9.16 + 6.3.32 + 64}}$
If $\cos 2\theta + 3\cos \theta = 0$, then the general value of $\theta $ is
The function which is neither decreasing nor increasing in $\left( {{\pi \over 2},{{3\pi } \over 2}} \right)$ is