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Category: Geometry

Question-4374

Question Number 4374 by Rasheed Soomro last updated on 14/Jan/16 Commented by Rasheed Soomro last updated on 14/Jan/16 $$\mathcal{I}{n}\:{trapizium}\:\mathrm{ABCD} \\ $$$$\mathrm{A}\:{and}\:\mathrm{B}\:{are}\:{right}\:{angles} \\ $$$$\mathrm{AB}=\mathrm{AD}=\mathrm{x}\:\mathrm{units}\:{and}\:\mathrm{BC}=\mathrm{2x}\:\mathrm{units}. \\ $$$${The}\:{trapizium}\:\mathrm{ABCD}\:{has}\:{been}\:…

Question-4329

Question Number 4329 by Rasheed Soomro last updated on 10/Jan/16 Commented by prakash jain last updated on 10/Jan/16 $$\mathrm{square}/\mathrm{8}+\mathrm{traingle}/\mathrm{4}=\mathrm{12}\:\mathrm{parts} \\ $$$$\mathrm{each}\:\mathrm{part}\:\mathrm{gets}\:\mathrm{3}. \\ $$ Answered by…

1-2-

Question Number 4268 by Momeen last updated on 06/Jan/16 $$\mathrm{1}+\mathrm{2}= \\ $$ Answered by Yozzii last updated on 06/Jan/16 $$\frac{\mathrm{1}}{\mathrm{11}}×\frac{\partial^{\mathrm{4}} }{\partial^{\mathrm{2}} {x}\partial^{\mathrm{2}} {y}}\left[\frac{\mathrm{11}}{\mathrm{4}}{x}^{\mathrm{2}} {y}^{\mathrm{2}} \right]\left({exp}\left({ln}\left[\frac{\mathrm{24}}{\pi}\left\{\underset{{n}\rightarrow+\infty}…

A-kite-is-a-quadrilateral-having-two-pairs-of-adjacent-sides-equal-Draw-a-semi-circle-inside-it-touching-all-the-sides-using-Eucledian-tools-Can-we-show-that-the-above-semi-circle-is-of-the-

Question Number 4225 by Rasheed Soomro last updated on 03/Jan/16 $$\:^{\bullet} \mathrm{A}\:\mathrm{kite}\:\mathrm{is}\:\mathrm{a}\:\mathrm{quadrilateral}\:\mathrm{having}\:\mathrm{two} \\ $$$$\mathrm{pairs}\:\mathrm{of}\:\mathrm{adjacent}\:\mathrm{sides}\:\mathrm{equal}. \\ $$$$\mathrm{Draw}\:\mathrm{a}\:\mathrm{semi}-\mathrm{circle}\:\mathrm{inside}\:\mathrm{it}\:\mathrm{touching} \\ $$$$\mathrm{all}\:\mathrm{the}\:\mathrm{sides}\:\mathrm{using}\:\mathrm{Eucledian}\:\mathrm{tools}. \\ $$$$\:^{\bullet} \:\mathrm{Can}\:\mathrm{we}\:\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\:\mathrm{above}\:\mathrm{semi}-\mathrm{circle} \\ $$$$\mathrm{is}\:\mathrm{of}\:\mathrm{the}\:\mathrm{laregest}\:\mathrm{possible}\:\mathrm{area}\:\mathrm{inside}\:\mathrm{the} \\ $$$$\mathrm{kite}?…

Question-4219

Question Number 4219 by Yozzii last updated on 02/Jan/16 Answered by prakash jain last updated on 02/Jan/16 $${f}\:'\left(\theta\right)=\underset{\delta\theta\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{f}\left(\theta+\delta\theta\right)−{f}\left(\theta\right)}{\delta\theta} \\ $$$$\mathrm{If}\:\mathrm{limit}\:\mathrm{exits} \\ $$$$\Rightarrow\underset{\delta\theta\rightarrow\mathrm{0}} {\mathrm{lim}}{f}\left(\theta+\delta\theta\right)={f}\left(\theta\right)+\underset{\delta\theta\rightarrow\mathrm{0}} {\mathrm{lim}}{f}\:'\left(\theta\right)\delta\theta…