AP EAPCET 20-Aug-2021 Shift 2 Paper

(a) Points (

^

i

+2

^

j

),(2

^

i

−

^

j

) i.e. (1,2) and (2,−1) .
Line joining points (1,2) and (2,−1) is
y−2=

−1−2

2−1

(x−1)
or y−2=−3x+3
y+3x=5 ...(i)
Points (−

^

i

),(2

^

i

) i.e. (−1,0),(2,0)
Line joining points (−1,0),(2,0) is
y−0=

0−0

2+1

(x+1)
⇒y=0 ...(ii)
Solve Eqs. (i) and (ii) for x and y, we get
y=0,x=

5

3

∴ Point of intersection (

5

3

,0).
i.e.

5

3

^

i

+0

^

j

=

5

3

^

i