find the equation of the circle which ends one of the diameters of two points p_1 (−2,3) and p


Question and Answers Forum

All Questions Topic List
Differentiation Questions
Previous in All Question Next in All Question
Previous in Differentiation Next in Differentiation
Question Number 69462 by mhmd last updated on 23/Sep/19

$f i n d t h e e q u a t i o n o f t h e c i r c l e w h i c h e n d s o n e o f t h e d i a m e t e r s o f t w o p o i n t s p_{1} (- 2, 3) a n d p_{2} (4, 5)$
Commented by mathmax by abdo last updated on 23/Sep/19

$l e t m (x, y) m \in C \Leftrightarrow m {\vec{p}}_{1} . m {\vec{p}}_{2} = 0 \Rightarrow (\begin{matrix} - 2 - x \\ 3 - y \end{matrix}) . (\begin{matrix} 4 - x \\ 5 - y \end{matrix}) = 0 \Rightarrow$ $(- 2 - x) (4 - x) + (3 - y) (5 - y) = 0 \Rightarrow - 8 + 2 x - 4 x + x^{2}$ $+ 15 - 3 y - 5 y + y^{2} = 0 \Rightarrow x^{2} + y^{2} - 2 x - 8 y + 7 = 0 \Rightarrow$ $C : x^{2} + y^{2} - 2 x - 8 y + 7 = 0$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum