TS EAMCET 2015 Solved Paper

Let A and B be the points on the coordinate axes, where the line intersect.
Since, P divides the line segment BA in the ratio 2:3
Then, the coordinates of point P will be
(‌

2a+0

2+3

,‌

0+3b

2+3

)‌ i.e. ‌(‌

2a

5

,‌

3b

5

)
But coordinates of P are (‌

1

2

,‌

1

3

).
∴‌

2a

5

=‌

1

2

and ‌

3b

5

=‌

1

3

⇒a=‌

5

4

and b=‌

5

9

So, equation of line will be

x

5 4

+

y

5 9

=1
⇒‌‌4x+9y=5