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Question
P is a point on the line segment joining the points (3, 2, –1) and (6, 2, –2). If x co-ordinate of P is 5, then its y co-ordinate is ______.
Options
2
1
–1
–2
Solution
P is a point on the line segment joining the points (3, 2, –1) and (6, 2, –2). If x co-ordinate of P is 5, then its y co-ordinate is 2.
Explanation:
Let P divides the line segment in the ratio of λ : 1
x - coordinate of the point P may be expressed as x = `(6lambda + 3)/(lambda + 1)` giving `(6lambda + 3)/(lambda + 1)` = 5
So that λ = 2.
Thus y-coordinate of P is `(2lambda + 2)/(lambda + 1)` = 2.
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