The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find
MATHEMATICS
WAEC 2014
The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find the shortest distance between P and Q.
- A. 10√2
- B. 4√5
- C. 5√2
- D. 2√5
Correct Answer: D. 2√5
Explanation
p(4, 3) Q(2 - 1)
distance = \(\sqrt{(x_2 - x_1)^2 + (Y_2 - y_1)^2}\)
= \(\sqrt{(2 - 4)^2 + (-1 - 3)^2}\)
= \(\sqrt{(-2)^2 = (-4)^2}\)
= \(\sqrt{4 + 16}\)
= \(\sqrt{20}\)
= \(\sqrt{4 \times 5}\)
= 2\(\sqrt{5}\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *