LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
9 views
in Mathematics by (30.0k points)
closed by
If the point R is the mid-point of the line joining the points C(5, 1, 3) and D(- 1, 1, -1) then find the point R ?
1. (2, 1, - 1)
2. (2, 3, 1)
3. (1, 1, 1)
4. (2, 1, 1)

1 Answer

0 votes
by (54.3k points)
selected by
 
Best answer
Correct Answer - Option 4 : (2, 1, 1)

Concept:

Let A(x1, y1, z1) and B(x2, y2, z2) be two points on a 3D plane then mid-point of the line joining the points A and B is given by: \(\rm (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}, \frac{z_{1}+z_{2}}{2}).\)

Calculation:

Given: R is the mid-point of the line joining the points C(5, 1, 3) and D(- 1, 1, -1).

As we know that, the mid-point of the line joining the points A(x1, y1, z1) and B(x2, y2, z2) is given by: \(\rm (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}, \frac{z_{1}+z_{2}}{2}).\) 

\(\Rightarrow \rm R=(\frac{5-1}{2}, \frac{1+1}{2} ,\frac{3-1}{2} )=(2, 1, 1)\)

Hence, the correct option is 4.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...