Question

show that a lines OA and OB are perpendicular where A ,B ,O are the points ( 5,4 ), ( 4, - 5 ) and ( 0,0 ) respectively

Answer 1

♧♧HERE IS YOUR ANSWER♧♧

♤RULE♤

Two lines with slopes p and q will be perpendicular to each other, if

pq = - 1

♤SOLUTION♤

The points are :

A Ξ (5, 4), B Ξ (4, -5) and C Ξ (0, 0).

Now, slope of the first line OA

p = (5 - 4)/(4 - 0) = 5/4

and

slope of the secon line OB

q = (4 - 0)/(-5 - 0) = -4/5

Then,

pq = (5/4)(-4/5) = -1

So, OA and OB are perpendicular to each other.

(Proved)

♧♧HOPE THIS HELPS YOU♧♧