O is a point on line ab. Oc and od are perpendiculars drawn on ab in opposite directions. Prove that oc and od lie in a straight line
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Answer:
OC & OD lie in a straight Line
Step-by-step explanation:
O is a point on line ab. Oc and od are perpendiculars drawn on ab in opposite directions. Prove that oc and od lie in a straight line
O is a point on Line AB
let say slope of line = m
& O = (Ox , Oy)
Then OC ⊥ AB => Slope of OC = -1/m
Similarly OD ⊥ AB => Slope of OD = -1/m
Both line have ame slope
=> OC ║ OD
OC lie equation Y = -x/m + C
Oy = -Ox/m + C
=> C = Oy + Ox/m
=> Y = -x/m + Oy + Ox/m
Simiallry
OD line of Equation is Y = -x/m + Oy + Ox/m
As both line Equations are same Hence OC & OD are same Line
=> OC & OD lie in a straight Line
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