Question
Download Solution PDFP 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
Answer (Detailed Solution Below)
Option 1 : 2
Detailed Solution
Download Solution PDFConcept:
If P divides the line joining the points A(x1, y1, z1) and B(x2, y2, z2) in the ratio k:1, then the coordinates of P are given by:
P =
Calculation:
P is a point on the line segment joining points A(3, 2, –1) and B(6, 2, –2).
Let (x1, y1, z1) = (3, 2, –1) and (x2, y2, z2) = (6, 2, –2)
∴ P =
According to the question,
⇒ 3 + 6k = 5k + 5
⇒ k = 2
∴ y-coordinate of P
=
=
=
= 2
∴ The y coordinate of the point P is 2.
The correct answer is option 1.