AP EAPCET 24-Aug-2021 Shift 1 Paper

A straight line

x

a

−

y

b

=1 passes thought (8,6).
Then,

8

a

−

6

b

=1 ...(i)
Area of triangle formed by axis and line = 12sq unit Area of triangle =

1

2

× base × height
12=

1

2

|(a)×(−b)|
⇒24=|−ab|
|ab|=24,ab=±24,b=±

±24

a

Now, in Eq. (i) put b=

24

a

8

a

−

6

b

=1
⇒

8

a

−

6

24 a

=i
⇒

8

a

−

a

4

=1
⇒

32−a2

4a

=1
⇒32−a2=4a
⇒a2+4a−32=0
⇒(a+8)(a−4)=0
a=−8|a=4
b=−3|b=6
∴ Equation of lines are

x

−8

−

y

−3

=1|

x

4

−

y

6

=1
−3x+8y=24|

3x−2y

12

=1