Math, asked by aaryabhagat555, 1 month ago

find the distance between :​

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Answered by SeCrEtID2006
14

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\huge\boxed{\bigstar \mathsf{solution} \bigstar }

ƓƖƔЄƝ:-

  • p( sin∅ ,cos ∅) and Q(-sin∅ , - cos ∅)

ƬƠ ƑƖƝƊ:-

  • distance between P and Q

ƧƠԼƲƬƖƠƝ:-

using distance formula ,

➔√(x2-x1)²+(y2-y1)²

put value ,

➔√(-sin∅ -sin∅)² + (-cos∅-cos∅)²

➔√ (-2sin∅)²+(-2cos∅)²

➔√ 4 sin²∅ + 4 cos ²∅

➔ √ 4 (sin²∅ + cos ²∅)

as ,we know sin²∅ + cos²∅ = 1

➔ √ 4

➔√ 2×2

➔ 2

hence ,the distance between point P and Q is 2

\huge\color{red}\boxed{\colorbox{black}{ƠƤƬƖƠƝ -ƛ}}

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