Question

P (3,5), Q(-2,13)
find PQ in the above question

Answer 1

Answer:

use distance formula to solve it..

Step-by-step explanation:

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Answer 2

Answer: $\sqrt{89}$ units

Concept: This is the question of coordinate geometry. When coordinates of two points are given we use the distance formula to find the distance between them.

Given: Two points P(3,5) and Q(-2,13)

To find: the distance between given points

Solution: here we use the distance formula to find the distance

$d(P,Q)=\sqrt{{(x_{2} -x_{1} })^{2}+(y_{2} -y_{1})^{2}}$

here $x_{1}$=3, $y_{1}$=5, $x_{2}$=-2,$y_{2}$=13

put these values in the distance formula mentioned above

d(P,Q) = $\sqrt{(-2-3)^{2}+(13-5)^{2} }$

          = $\sqrt{25+64}$

          = $\sqrt{89}$

Hence the distance between given points is $\sqrt{89}$ units