A surveyor finds that point M(3, 2) is the midpoint of a fence joining A(k+1, k-1) and B(2k-1, k+1).
Use the midpoint condition to find the value of k.

Question

A surveyor finds that point M(3, 2) is the midpoint of a fence joining A(k+1, k-1) and B(2k-1, k+1). Use the midpoint condition to find the value of k.

Accepted Answer

2. x-coord: (k+1) + (2k-1)/2 = 3 => 3k/2 = 3 => 3k = 6 => k = 2. y-coord check: (k-1) + (k+1)/2 = 2 => 2k/2 = 2 => k = 2. Both equations give k = 2.

A surveyor finds that point M(3, 2) is the midpoint of a fence joining A(k+1, k-1) and B(2k-1, k+1).
Use the midpoint condition to find the value of k.

Step-by-Step Solution

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More Class 10 Section Formula practice

A surveyor finds that point M(3, 2) is the midpoint of a fence joining A(k+1, k-1) and B(2k-1, k+1).Use the midpoint condition to find the value of k.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Section Formula practice

A surveyor finds that point M(3, 2) is the midpoint of a fence joining A(k+1, k-1) and B(2k-1, k+1).
Use the midpoint condition to find the value of k.