Question

Find a if the distance of the point (4, 1) from the point (3, a) is √10.

Answer 1

Sure, in simpler terms:

Given that the distance between the points (4, 1) and (3, a) is √10, we can set up the distance formula:

√10 = √((3 - 4)^2 + (a - 1)^2).

Solving this equation, we get:

8 = a^2 - 2a.

This is a quadratic equation for \(a\), which can be solved to find the possible values of \(a\).