Category: Coordinate Geometry

Question Number 32399 by saru53424@gmail.com last updated on 24/Mar/18 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 162860 by Mathematification last updated on 01/Jan/22 Answered by MJS_new last updated on 01/Jan/22 $$f\left(x\right)=x^4-18x^2-x+83$$$$g\left(x\right)=c_{1}x+c_0$$$${h}\left({x}\right)={f}\left({x}\right)−{g}\left({x}\right)={x}^{\mathrm{4}} −\mathrm{18}{x}^{\mathrm{2}}…

Question Number 97143 by Ar Brandon last updated on 06/Jun/20 $$\mathrm{Given}\mathrm{f}\left(\mathrm{x}\right)=\frac{{\mathrm{ax}}^2+\mathrm{bx}+\mathrm{c}}{\mathrm{x}}\mathrm{and}{\mathcal{C}}_{\mathrm{f}}\mathrm{its}\mathrm{graph};$$$$\mathrm{Determine}\mathrm{the}\mathrm{real}\mathrm{numbers}\mathrm{a},\mathrm{b},\mathrm{and}\mathrm{c}\mathrm{such}\mathrm{that}$$$${\mathcal{C}}_{\mathrm{f}}\mathrm{passes}\mathrm{through}\mathrm{the}\mathrm{points}\mathrm{A}(1;2);\mathrm{B}(-4;8)\mathrm{and}\mathrm{has}$$$$\mathrm{a}\mathrm{tangent}\mathrm{parallel}\mathrm{to}\mathrm{the}\mathrm{x}-\mathrm{axis}\mathrm{at}\mathrm{x}=2.$$ Answered by MJS…

Question Number 162561 by Mathematification last updated on 30/Dec/21 Answered by MJS_new last updated on 30/Dec/21 $$\mathrm{we}\mathrm{have}\mathrm{to}\mathrm{find}\mathrm{the}\mathrm{minimum}\mathrm{value}\mathrm{of}\mid AB\mid$$$$\mathrm{with}A=\left(\begin{array}{c}p\\ p^2\end{array}\right)\mathrm{and}B=\left(\begin{array}{c}q\\ \ln q\end{array}\right).\mathrm{this}\mathrm{can}\mathrm{only}$$$$\mathrm{be}\mathrm{approximated}.\mathrm{I}\mathrm{get}$$$${p}\approx.\mathrm{538167} \…

Question Number 31406 by rahul 19 last updated on 08/Mar/18 Commented by mrW2 last updated on 08/Mar/18 $${OM}_r=\frac{{OA}_r+{OA}_{r+1}}{2}=\frac{1+q}{2}\times {OA}_r$$$$\Sigma{OM}_{{r}} =\frac{\mathrm{1}+{q}}{\mathrm{2}}×\Sigma{OA}_{{r}} =\frac{\mathrm{1}+{q}}{\mathrm{2}\left(\mathrm{1}−{q}\right)}×{OA}_{\mathrm{1}}…