Download App

Application of Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsApplication of Integrals1 Mark
MCQ
Area of circle $x^2+y^2=4$ :
  • A
    $2 \pi$
  • B
    $16 \pi$
  • ✓
    $4 \pi$
  • D
    $\frac{\pi}{4}$
✓

Answer

Correct option: C.
$4 \pi$
(C) $4 \pi$
Circle $x^2+y^2=4$
$
\begin{aligned}
\therefore \quad(x)^2+(y)^2 & =(2)^2 \\
\text { Area of circle } & =\pi(\text { radius })^2=\pi(2)^2 \\
& =4 \pi
\end{aligned}
$

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 Application of Integrals→Application of Integrals — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Choose the correct answer in Exercise.
$\int\sqrt{1+\text{x}^2}\text{dx}$ is equal to
→
If cofactor $C _{i j}$ represent for element $p_{i j}$, of matrix $P =\left[\begin{array}{ccc}1 & -1 & 2 \\ 0 & 2 & -3 \\ 3 & 2 & 4\end{array}\right]$ then value of $C_{31} . C_{23}$ is $:$
→
The area of the region bounded by the parabola $y=x^2+1$ and the staight line $x+y=3$ is given by:
→
$\int_{}^{} {({e^{a\log x}} + {e^{x\log a}})dx} = $
→
If the projections of the line segment AB on the coordinate axes are 2, 3, 6, then the square of the sine of the angle made by AB with x = 0, is:
→
The minimum value of $4{e^{2x}} + 9{e^{ - 2x}}$ is
→
If $y = \sin px$ and ${y_n}$ is the $n^{th}$ derivative of $y$, then $\left| {\begin{array}{*{20}{c}}
y&{{y_1}}&{{y_2}}\\
{{y_3}}&{{y_4}}&{{y_5}}\\
{{y_6}}&{{y_7}}&{{y_7}}
\end{array}} \right|$ is equal to
→
The odd natural number $a,$ such that the area of the region bounded by $y =1, y =3, x =0, x = y ^{a}$ is $\frac{364}{3}$, equal to.
→
Let $f: R \rightarrow R$ be defined $f(x)=a e^{2 x}+b e^x+c x$. If $f(0)=-1, f^{\prime}\left(\log _e 2\right)=21$ and $\int_0^{\log _e 4}(f(x)-c x) d x=\frac{39}{2}$, then the value of $|a+b+c|$ equals:
→
$\lim _{x \rightarrow 0} \frac{\int_{0}^{x^{2}}(\sin \sqrt{t}) dt }{x^{3}}$ is equal to
→