Show that among rectangles of given area, the square has least pe… - Vidyadip

Question

Show that among rectangles of given area, the square has least perimeter.

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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 "Solve the Following Question.(4 Marks)" from Applications of Derivatives→Applications of Derivatives — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the approximate value of $\cos \left(60^{\circ} 30^{\circ}\right)\left(\right.$ Given : $1^{\circ}=0.0175^{ c }, \sin 60^{\circ}=0.8660$.)

Solve the following differential equations:

$\left(1+e^{\frac{x}{y}}\right) d x+e^{\frac{x}{y}}\left(1-\frac{X}{y}\right) d y=0$

Show that $\frac{d y}{d x}=\frac{y}{x}$ in the following, where a and $p$ are constants.

$e^{\frac{x^7-y^7}{x^7+y^7}}=a$

Find the inverse of the following matrices by the adjoint method : $\left[\begin{array}{rr}-1 & 5 \\ -3 & 2\end{array}\right]$

Find the shortest distance between lines $\bar{r}=(2 \hat{i}-\hat{j})+\lambda(2 \hat{i}+\hat{j}-3 \hat{k})$ and $\bar{r}=\hat{i}-\hat{j}+2 \hat{k}+\mu(2 \hat{i}+\hat{j}-5 \hat{k})$

Find the volume of the parallelepiped whose coterminous edges are given by vectors $2 \hat{i}+3 \hat{\jmath}-4 \hat{k}, 5 \hat{i}+7 \hat{\jmath}+5 \hat{k}$ and $4 \hat{\imath}+5 \hat{\jmath}-2 \hat{k}$

Find the volume of the solid generated, when the area between ellipse $4 x^2+9 y^2=36$ and the chord $A B$, with $A =(3,0), B =(0,2)$; is revolved about $X$-axis.

$\int_0^1 \frac{\log (x+1)}{x^2+1} \cdot d x$

In $\triangle A B C$, prove that $\frac{ b ^2- c ^2}{ a } \cos A +\frac{ c ^2- a ^2}{ b } \cos B +\frac{ a ^2- b ^2}{ c } \cos C =0$

Find $\frac{d y}{d x}$, if

$x = t ^2+ t +1, y =\sin \left(\frac{\pi t}{2}\right)+\cos \left(\frac{\pi t}{2}\right)$ at $t =1$