AP EAMCET Engineering 21 Sep 2020 Shift 1 Paper

Since equation of line joining points B(4,7,1) and C(3,5,3) is
‌

x−4

4−3

=‌

y−7

7−5

=‌

z−1

1−3

⇒‌‌‌

x−4

1

=‌

y−7

2

=‌

3−1

−2

=λ  (let)....(i)
Now the general point over the above line (i) is P(λ+4,2λ+7,1−2λ)
Let point P is the foot of perpendicular of point A(1,0,3) over the line (i), so
AP ⟂ line
⇒‌‌λ=−‌

7

3

∴ The coordinate of point P is