AP EAMCET2003MathematicsThree Dimensional Geometry
X O Z -plane divides the join of (2,3,1) and (6,7,1) in the ratio:
Options
- A3: 7
- B2: 7
- C-3: 7
- D-2: 7
Correct answer
C. -3: 7
Step-by-step solution
Let X O Z -plane divides the joining the point (2,3,1) and (6,7,1) into m: n , then the co-ordinate of X O Z -plane is ( m x₂+n x₁ m+n , m y₂+n y₁ m+n , m z₂+n z₁ m+n )= ( 6 m+2 n m+n , 7 m+3 n m+n , m+n m+n ) But on the X O Z -plane y -coordinate will be zero, then 7 m+3 n m+n =0 m n =- 3 7 m: n=-3: 7