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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)

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Correct Answer - Option 1 : (1, 1)

Concept:

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 \(\rm (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}).\)

Calculation:

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.

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