EAMCET Engineering 2001 Solved Paper

Given lines are
‌2x+3y=6
and ‌2x+3y=8
These lines meet the X-axis at A(3,0) and B(4,0).
The line L passes through (2,2) cuts X-axis at C, such that x-coordinate of A,B,C are in ap i.e. 3,4,x1
⇒2.4‌=3+x1
⇒x1‌=8−3=5
To coordinates of C are (5,0).
A line L passing through the points (2,2) and (5,0), is
‌y−0‌=‌

0−2

5−2

(x−5)
⇒‌y=‌

−2

3

(x−5)
⇒‌3y=−2x+10
⇒‌2x+3y=10