Question

P is a point on the line segment joining the points ` (3, 2, -1 ) and ( 6, 2 , - 2 ) ` . If x - coordinate of P is 5, then its y - coordinate is
A. ` 2 `
B. ` 1 `
C. ` - 1`
D. `- 2 `

Answer 1

Correct Answer - A
Let P divides the line segment in the ratio of ` lamda : 1 `
x - coordinate , of the point P may be expressed as
` x = ( 6lamda + 3 ) /( lamda + 1 ) `
` therefore 5 = ( 6 lamda + 3 ) /( lamda + 1 ) `
` rArr lamda = 2 `
Thus, y- coordinate of P is
` ( 2lamda + 2 )/ ( lamda + 1 ) = ( 2 ( 2) + 2 ) /( 2 + 1 ) = 2 `.
` therefore ` y - coordinate of the point P is 2.