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

Question

Find the distance between the points:
$P (a sin α, a cos α)$ and $Q (a cos α, - a sin α)$ .

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Chloe Discussed

Find the distance between the points:

P (a sin α, a cos α)

and

Q (a cos α, - a sin α)

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

P (a sin α, a cos α)

and

Q (a cos α, - a sin α)

PQ = (a cos α - a sin α)^{2} + (- a sin α - a cos α)^{2}

= a^{2} (cos α - sin α)^{2} + a^{2} (sin α - cos α)^{2}

= a 2 sin^{2} α + 2 cos^{2} α

= a 2

units.

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