Question
Area of circle $x^2+y^2=4$ :

Answer

(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

Similar questions

What is the value of $\int_{-1}^{1}\sin^3\text{x}\cos^2\text{xdx}?$
  1. $0$
  2. $1$
  3. $\frac{1}{2}$
  4. $2$
A flash light has 8 batteries out of which 3 are dead. IF two batteries are selected without replacement and tested, then the probability that both are dead is,
  1. $\frac{3}{28}$
  2. $\frac{1}{14}$
  3. $\frac{9}{64}$
  4. $\frac{33}{56}$
Find the value of $p$ for which the points $(−5, 1), (1, p)$ and $(4, −2)$ are collinear.
The general solution of the differential equation $\frac{d y}{d x}=\frac{y}{x}$ is
The corner points of the feasible region determined by the following system of linear inequalities:
2x + y ≤ 10, x + 3y ≤ 15, x, y ≥ 0 are (0, 0), (5, 0), (3, 4) and (0, 5).
Let Z = px + qy, where p.q > 0.
Condition on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is:
  1. P = q
  2. p = 2q
  3. p = 3q
  4. q = 3q
Which of the following differentials equation has y = x as one of its particular solution?
  1. $\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}-\text{x}^{2}\frac{\text{dy}}{\text{dx}}+\text{xy}=\text{x}$
  2. $\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}+\text{x}^{2}\frac{\text{dy}}{\text{dx}}+\text{xy}=\text{x}$
  3. $\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}-\text{x}^{2}\frac{\text{dy}}{\text{dx}}+\text{xy}=\text{0}$
  4. $\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}+\text{x}^{2}\frac{\text{dy}}{\text{dx}}+\text{xy}=\text{0}$
If $S = [S_{ij}]$ is a scalar matrix such that $S_{ij} = k$ and $A$ is a square matrix of the same order, then $AS = SA =$ ?
The radius of a circular plate is increasing at the rate of 0.01cm/sec. The rate of increase of its area when the radius is 12cm, is:
  1. $144\pi\text{cm}^{2}/\text{sec}.$
  2. $2.4\pi\text{cm}^{2}/\text{sec}.$
  3. $0.24\pi\text{cm}^{2}/\text{sec}.$ 
  4. $0.024\pi\text{cm}^{2}/\text{sec}.$   
Total number of possible matrices of order $3 \times 3$ with each entry 2 or 0 is
The vectors $\vec{\text{a}}$ and $\vec{\text{b}}$ satisfy the equation $2\vec{\text{a}}+\vec{\text{b}}=\vec{\text{p}}$ and $\vec{\text{a}}+2\vec{\text{b}}=\vec{\text{q}},$ where $\vec{\text{p}}=\hat{\text{i}}+\hat{\text{j}}$ and $\vec{\text{q}}=\hat{\text{i}}-\hat{\text{j}}.$ If $\theta$ is the angle between $\vec{\text{a}}$ and $\vec{\text{b}},$ then:
  1. $\cos \theta = \frac{4}{5}$
  2. $\sin \theta = \frac{1}{\sqrt{2}}$
  3. $\cos \theta = -\frac{4}{5}$
  4. $\cos \theta = -\frac{3}{5}$