AP EAPCET 19-Aug-2021 Shift 2 Paper

Let the equation of line be

x

a

+

y

b

=1
Where (a,0) is x-intercept and (0,b) is y-intercept.
It passes through (4,3)
⇒

4

a

+

3

b

=1 or b=

3a

a−4

Area with the axes =

1

2

ab=

1

2

.

3a2

a−4

Area is minimum
⇒

d

da

( area )=0
⇒

d

dx

(

a2

a−4

)=0
⇒(a−4).2a−a2=0
⇒a2−8a=0
⇒a=8
⇒b=6∴ Equation of line

x

8

+

y

6

=1
⇒

3x+4y

24

=1 or 3x+4y=24