Mathematics 2007 JAMB Past Questions - Question 47: What is the value of k if the mid point of the line joining (1-k,-4) and (2,k+1) is (-k,k)?

Correct Answer

A

Explanation

To find the value of k, we can use the midpoint formula. The midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by the coordinates:(x₁ + x₂)/2, (y₁ + y₂)/2In this case, the midpoint is (-k, k), and the endpoints are (1-k, -4) and (2, k+1).Using the midpoint formula, we can set up the following equations:(-k) = (1-k + 2)/2k = (1-k + 2)/2Simplifying the equations:-k = (3-k)/2-2k = 3 - k-k + k = 30 = 3Since the equation 0 = 3 is not true, there is no value of k that satisfies the given conditions.