OABC is a parallelogram where B is the origin and O is the point (5,7)C lies on the line x-2y=0 and A lies on the 2x-y=0. Calculate the coordinates of A and C

firmezas1

firmezas1

Answered question

2022-09-29

O A B Cis a parallelogram where B is the origin and O is the point ( 5 , 7 ). C lies on theline x 2 y = 0</math and A lies on the line 2 x y = 0. Calculate the coordinates of A and C.

Answer & Explanation

graulhavav9

graulhavav9

Beginner2022-09-30Added 14 answers

Hint:
WLOG A ( 2 a , a ) ; C ( c , 2 c )
Now the mid point of OB should coincide with that of AC as of one diagonal in a parallelogram is also the midpoint of another
Also O A B C , O B A C
Parallel lines have the same gradient

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