LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
in Mathematics by (30.0k points)
closed by
Find the mid-point of the line joining the points C(3, - 4) and D(- 1, 6)?
1. (1, 1)
2. (1, 3)
3. (2, 1)
4. (3, 1)

1 Answer

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


Let A(x1, y1) and B(x2, y2) be the two points then the mid-point of the line joining the points A and B is \(\rm (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}).\)


Given: C(3, - 4) and D(- 1, 6)

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

Let R be the mid-point between the points C and D.

\(\Rightarrow \rm R=(\frac{3-1}{2}, \frac{-4+6}{2} )=(1, 1)\)

Hence, the correct option is 1.

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.