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Category: Coordinate Geometry

Question-26021

Question Number 26021 by ajfour last updated on 17/Dec/17 Commented by ajfour last updated on 17/Dec/17 $${If}\:{a}\:{ray}\:{of}\:{light}\:{from}\:{P}\left({a},{b}\right)\:{has} \\ $$$${to}\:{return}\:{back}\:{to}\:{P}\:{upon}\:{two}\: \\ $$$${reflections},\:{from}\:{parabola}\:{y}={x}^{\mathrm{2}} , \\ $$$${say}\:{at}\:{points}\:{B}\:{and}\:{C}.\:{Then}\:{find} \\…

Question-25770

Question Number 25770 by tawa tawa last updated on 14/Dec/17 Answered by jota@ last updated on 15/Dec/17 $$\mathrm{2}{y}+{x}=\mathrm{16}\:\:{linea}\:{AC} \\ $$$${A}\left(\mathrm{16},\:\mathrm{0}\right)\:{and}\:{C}\left(\mathrm{0},\:\mathrm{8}\right) \\ $$$${y}−\mathrm{2}{x}=−\mathrm{2}\:{linea}\:{BX} \\ $$$$\:{solving}\:{X}\left(\mathrm{6},\:\mathrm{5}\right) \\…

Question-25767

Question Number 25767 by tawa tawa last updated on 14/Dec/17 Answered by mrW1 last updated on 15/Dec/17 $$\left(\mathrm{1}\right) \\ $$$${eqn}.\:{of}\:{BC}: \\ $$$$\frac{{y}−\mathrm{8}}{{x}+\mathrm{2}}×\frac{\mathrm{14}−\mathrm{8}}{\mathrm{2}+\mathrm{2}}=−\mathrm{1} \\ $$$$\frac{{y}−\mathrm{8}}{{x}+\mathrm{2}}×\frac{\mathrm{3}}{\mathrm{2}}=−\mathrm{1} \\…

Question-156789

Question Number 156789 by cortano last updated on 15/Oct/21 Commented by john_santu last updated on 15/Oct/21 $${let}\:{AB}={a}\:;\:{AM}={CN}={a}−{R} \\ $$$$\Rightarrow\mathrm{65}=\mathrm{23}+\mathrm{2}\left({a}−{R}\right) \\ $$$$\Rightarrow\mathrm{42}=\mathrm{2}\left({a}−{R}\right) \\ $$$$\Rightarrow\mathrm{21}={a}−{R} \\ $$$${let}\:{AD}={b}…