Category: Coordinate Geometry

Question Number 11607 by Joel576 last updated on 29/Mar/17 $$\mathrm{A}\mathrm{parabola}\mathrm{with}\mathrm{equation}y=\frac{x^2}{k}-5\mathrm{intersects}$$$$\mathrm{a}\mathrm{circle}\mathrm{with}\mathrm{equation}{x}^2+y^2=25\mathrm{at}\mathrm{exactly}3\mathrm{points}A,B,C$$$$\mathrm{Determine}\mathrm{all}\mathrm{such}\mathrm{positive}\mathrm{integers}k\mathrm{for}\mathrm{which}$$$$\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{\Delta }ABC\mathrm{is}\mathrm{an}\mathrm{integer}$$ Answered by mrW1 last…

Question Number 11473 by tawa last updated on 26/Mar/17 $$\mathrm{Show}\mathrm{that}\mathrm{the}\mathrm{graph}\mathrm{of}\mathrm{y}={\mathrm{x}}^3+{2\mathrm{x}}^2+\mathrm{x}+1,\mathrm{between}\mathrm{x}=-1\mathrm{and}\mathrm{x}=2$$$$\mathrm{lies}\mathrm{entirely}\mathrm{above}\mathrm{the}\mathrm{x}-\mathrm{axis}$$ Commented by prakash jain last updated on 28/Mar/17 $${y}={x}^{\mathrm{3}}…

Question Number 142447 by ajfour last updated on 31/May/21 Commented by ajfour last updated on 31/May/21 $$Findellipseperimeter.$$ Answered by Dwaipayan Shikari last updated…

Question Number 11303 by tawa last updated on 19/Mar/17 $$\mathrm{Find}\mathrm{the}\mathrm{equation}\mathrm{and}\mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{circumference}\mathrm{of}\mathrm{the}\mathrm{triangle}\mathrm{formed}$$$$\mathrm{by}\mathrm{the}\mathrm{three}\mathrm{lines}.$$$$2\mathrm{y}-9\mathrm{x}+26=0$$$$9\mathrm{y}+2\mathrm{x}+32=0$$$$11\mathrm{y}-7\mathrm{x}-27=0$$ Answered by ajfour last updated…

Question Number 142017 by cherokeesay last updated on 25/May/21 Commented by cherokeesay last updated on 25/May/21 $$$$1) Calculate R 2) Calculate the% of…