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Find the distance between the points: P(a+b, a-b) and Q(a-b, a

Question

Find the distance between the points:
$P (a + b, a - b)$ and $Q (a - b, a + b)$ .

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Mateo Discussed

Find the distance between the points:

P (a + b, a - b)

and

Q (a - b, a + b)

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Distance formula:

(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

P (a + b, a - b)

and

Q (a - b, a + b)

PQ = ((a - b) - (a + b))^{2} + ((a + b) - (a - b))^{2}

= (2 b)^{2} + (2 b)^{2}

= 8 b^{2}

= 2 b 2

units.

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Question Text	Find the distance between the points: $P (a + b, a - b)$ and $Q (a - b, a + b)$ .
Answer Type	Text solution:1
Upvotes	150