Question and Answers Forum

All Questions      Topic List

Coordinate Geometry Questions

Previous in All Question      Next in All Question      

Previous in Coordinate Geometry      Next in Coordinate Geometry      

Question Number 113644 by AbhishekBasnet last updated on 14/Sep/20

Answered by 1549442205PVT last updated on 14/Sep/20

$$\mathrm{The}\mathrm{intersection}\mathrm{point}\mathrm{of}\mathrm{two}\mathrm{lines}$$$$\mathrm{x}-\mathrm{y}+1=0\mathrm{and}2\mathrm{x}-\mathrm{y}-1=0\mathrm{is}\mathrm{roots}$$$$\mathrm{of}\mathrm{the}\mathrm{system}:\{\begin{array}{l}\mathrm{x}-\mathrm{y}+1=0\\ 2\mathrm{x}-\mathrm{y}-1=0\end{array}$$$$\mathrm{Substracting}\mathrm{two}\mathrm{above}\mathrm{equations}$$$$\mathrm{we}\mathrm{get}\mathrm{x}-2=0\Rightarrow \mathrm{x}=2,\mathrm{y}=3.\mathrm{Replace}$$$$\mathrm{this}\mathrm{value}\mathrm{into}\mathrm{the}\mathrm{equation}$$$$\mathrm{x}+3\mathrm{y}-11=0\mathrm{we}\mathrm{see}\mathrm{they}\mathrm{satisfy}.\mathrm{That}$$$$\mathrm{shows}\mathrm{that}\mathrm{three}\mathrm{above}\mathrm{lines}\mathrm{are}$$$$\mathrm{concurren}\mathrm{at}\mathrm{M}(2,3)(\mathbf{Q}.\mathbf{E}.\mathbf{D})$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com