AP EAPCET 20-Aug-2021 Shift 2 Paper

The equation of line passing through u and v is =

→

u

+λ(

→

v

−

→

u

)
r=2

^

i

+

^

j

+λ(

^

i

−6

^

j

) =(2+λ)

^

i

+(1−6λ)

^

j

For the point P,

5

2

^

i

−2

^

j

=(2+λ)

^

i

+(1−6λ)

^

j

⇒2+λ=

5

2

⇒λ=

1

2

and 1−6λ=1−6×

1

2

=−2
Thus, point P lie in the line through u and v. For the point Q
2+λ=

7

3

⇒λ=

1

3

and 1−6λ=−1
Thus, point Q also lie in the line passes through u and v.