A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the ratio in which the YZ-plane divides the line segment formed by joining the points (- 2, 4, 7) and (3, - 5, 8)
Solution:
Let the YZ plane divide the line segment joining points (- 2, 4, 7) and (3, - 5, 8) in the ratio k : 1
Hence, by section formula, the coordinates of point of intersection are given by
[(k(3) - 2)/(k + 1), (k(- 5) + 4)/(k + 1), (k(8) + 7)/(k + 1)]
On the YZ plane, the x - coordinate of any point is zero.
⇒ (3k - 2)/(k + 1) = 0
⇒ 3k - 2 = 0
⇒ k = 2/3
Thus, the YZ-plane divides the line segment formed by joining the given points in the ratio 2 : 3
NCERT Solutions Class 11 Maths Chapter 12 Exercise 12.3 Question 3
Find the ratio in which the YZ-plane divides the line segment formed by joining the points (- 2, 4, 7) and (3, - 5, 8).
Summary:
The YZ-plane divides the line segment formed by joining the points (- 2, 4, 7) and (3, - 5, 8) in the ratio 2:3
Math worksheets and
visual curriculum
visual curriculum