Question

a line passes through a point other than the origin (a b) with a slope of 1/3

Answer 1

Answer:

Step-by-step explanation:

Line AB will be farthest from the origin if OP is right angled to loine drawn

m  

OP

​  

=  

3

1

​  

⇒m  

AB

​  

=−3

Thus, the equation of AB is (y−1)=−3(x−3)

⇒A=(  

3

10

​  

,0),B=(0,10)

⇒ΔOAB=  

2

1

​  

(OA)(OB)=  

2

1

​  

×  

3

10

​  

×10=  

6

100

​  

=  

3

50

​