1Find the distance between the pair of points 46 and 5 9Solu

1.Find the distance between the pair of points: (4,-6) and (-5, -9).

Solution

Distance between two points (x₁ , y₁) and (x₂ , y₂) is D = [(x₂ - x₁)² + (y₂ - y₁)²]

==> Distance between (4,-6) and (-5, -9) = [(-5 -4)² + (-9 - (-6))²]

==> D = [(-9)² + (-9 + 6))²]

==> D = [81 + (-3)²]

==> D = [81 + 9]

==> D = 90

==> D = 310

Hence distance between (4,-6) and (-5, -9) is 310 units (Option a)