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The Centroid

Find the orth...

Question

Find the orthocentre of the triangle formed by the coordinate axes and $x + y = 4$ .

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Solution

$A s t h e t r i a n g l e f o r m e d i s a r i g h t a n g l e d t r i a n g l e a n d h e n c e O r t h o c e n t r e l i e s a t t h e v e r t e x c o n t a i n i n g t h e r i g h t a n g l e w h i c h i s o r i g i n i n o u r c a s e (0, 0)$

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