Question

O is a point on line AB. OC and OD are perpendiculars drawn on AB
opposite directions. Prove that OC and OD lie in a straight line.​

Answer 1

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