AP EAMCET Engineering 20 Apr 2019 Shift 2 Paper

Let a line cuts the coordinate axis at A and B. So,
‌‌

x

a

+‌‌

y

b

=1
Now, A(a,0),B(0,b) and the line passes through the point
P(4,2)
Thus,
‌‌

4

a

+‌‌

2

b

=1
The coordinate of centre of the circumcentre of ∆OAB is
midpoint of hypotenuse of the right angled ∆ OAB and its
midpoint is AB. So, the circumcentre is (‌‌

a

2

,‌‌

b

2

)
Therefore,
‌‌

2

x

+‌‌

1

y

=1
2x−1+y−1=1