Question

Find the distance between P(-6,7) and Q(1,5)

Answer 1

Given :-

P(6,7) and Q(1,5)

What to find out =( distance between P and Q)?

Solution :-

Apply Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance d between these points is given by the formula-

Here:-

X1=6, x2=1

Y1=7, y2=5

Hence,

$d = \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } \\ d = \sqrt{(1 - 6) {}^{2} + (5- 7) {}^{2} } \\ d = \sqrt{( - 5) {}^{2} + ( - 2) {}^{2} } \\ d = \sqrt{25 + 4} \\ d = \sqrt{29} \: \: unit$

Answer