Download App

Model Paper 2 — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsModel Paper 21 Mark
MCQ
$\int_0^{\frac{2}{3}} \frac{d x}{4+9 x^2}=$ _________.
  • A
    $\frac{\pi}{6}$
  • B
    $\frac{\pi}{12}$
  • C
    $\frac{\pi}{24}$
  • D
    $\frac{\pi}{4}$
✓

Answer

SELF

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 Model Paper 2→Model Paper 2 — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $\frac{d}{{dx}}\left[ {\frac{{2{x^3} + 3{x^2} + x - 3}}{{{x^2} + x - 2}}} \right] = \,A + \frac{B}{{{{(x - 1)}^2}}} + \frac{C}{{{{(x + 2)}^2}}}$ then ($A - B + C$) is 
→
Function

$f\left( x \right) = \int_1^x {\left\{ {2\left( {t - 1} \right){{\left( {t - 2} \right)}^3} + 3{{\left( {t - 1} \right)}^2}{{\left( {t - 2} \right)}^2}} \right\}} dt$ is maximum when $x$ is equal to

→
Three faces of aj ordinary dice are yellow, two faces are red and one face is blue. The dice is rolled 3 times. The probability that yellow red and blue face appear in the first second and third throws respectively, is
  1. $\frac{1}{36}$
  2. $\frac{1}{6}$
  3. $\frac{1}{30}$
  4. None of these.
→
Let $y=\{x\}^{[x]}$  where $\{x\}$ denotes the fractional part of $x$ $ \&$ $ [x] $ denotes greatest integer $ \le x,$  then $\int\limits_0^3 {\,y\,dx} $=
→
A ladder, 5 meter long, standing on a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of 10cm/ sec, then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 metres from the wall is:
→
The distance of the plane through the intersection of the planes ax + by + cz +d = 0 and lx + my + nz + P = 0 and parallel to the line y = 0, z = 0
  1. (bl - am)y + (cl - an)z + dl - ap = 0
  2. (am - bl)x + (mc - bn)z + md - bp = 0
  3. (na - cl)x + (bn - cm)y + nd - cp = 0
  4. None of these
→
Let $\vec a,\,\vec b,$ and $\vec c$ be three unit vectors, out of which vectors $\vec b$ and $\vec c$ are non-parallel. If $\alpha $ and $\beta $ are the angles which vector $\vec a$ makes with vectors $\vec b$ and $\vec c$ respectively and $\vec a\,\, \times \,\,(\vec b\,\, \times \,\,\vec c)\,\, = \,\,\frac{1}{2}\,\,\vec b,$ then $\left| {\alpha  - \beta } \right|$ is equal to .............. $^o$
→
If P be the point (2, 6, 3) then the equation of the plane trough P, at right angles to OP, where ′O′ is the origin is:
→
If matrix $A=\left[\begin{array}{cc}x+y & 3 \\ 4 & y\end{array}\right]=\left[\begin{array}{ll}4 & 3 \\ 4 & 1\end{array}\right]$ then the value of $x$ will be :
→
Let $f, g: R \rightarrow R$ be two real valued functions defined as $f(x)=\left\{\begin{array}{cl}-|x+3| & , \quad x<0 \\ e^{x} & , \quad x \geq 0\end{array}\right.$ and $g(x)=\left\{\begin{array}{ll}x^{2}+k_{1} x & , \quad x<0 \\ 4 x+k_{2} & , \quad x \geq 0\end{array}\right.$, where $k_{1}$ and $k_{2}$ are real constants. If $(gof)$ is differentiable at $x=0$, then $(gof) (-4)+(gof)\, (4)$ is equal to
→