MHT CET 2020 Math Solved Paper

Let the co-ordinates of A be (a,0). Then the slope of the reflected ray is ‌

3−0

5−a

=tan‌θ (say) ...(1)
Then the slope of the incident ray
=‌

2−0

1−a

=tan(π−θ) ...(2)
from (1) and (2)
‌‌∵tan‌θ+tan(π−θ)=0
⇒‌

3

5−a

+‌

2

1−a

=0⇒3−3a+10−2a=0
⇒a=‌

13

5

Thus, the co-ordinates of A are (‌

13

5

,0).