BITSAT 2017 Paper

As given plane x+y–z=

1

2

divides the line joining the points A(2,1,5) and B(3,4,3) at a point C in the ratio k : 1.Then coordinates of C
(‌‌

3k+2

k+1

,‌‌

4k+1

k+1

,‌‌

3k+5l

k+1

)
Point C lies on the plane,
⇒ Coordinates of C must satisfy the equation of plane.
⇒4k−2=‌‌

1

2

(k+1)
⇒8k−4=k+1⇒7k=5
⇒k=

5

7

Ration is 5:7