Math, asked by princess1229, 7 hours ago

Plz answer fast. I will mark as brainliest

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Answered by taranisingh625
0

Answer:

The distance between the p

answer is 3)

Answered by hemanthkumar76
3

\huge \mathrm \color{red}{ \underline {\underline{Question}}}

The distance between the points (aSin60° , 0) and (0 , aCos30°) is

1) -  \sqrt{ \frac{3}{2} } a \\ 2) -  \sqrt{ \frac{2}{3} } a \\ 3) \sqrt{ \frac{3}{2} } |a|  \\ 4) \sqrt{ \frac{2}{3} } |a|

\huge \mathrm \color{red}{ \underline {\underline{Answer}}}

We know that

Sin60° =  \frac{ \sqrt{3} }{2}   = Cos30°

Distance from origin = √(x² + y²)

x = aSin60° =  \frac{ \sqrt{3} }{2} a

y= aCos30° =  \frac{ \sqrt{3} }{2} a

 =  \sqrt{ {( \frac{ \sqrt{3} }{2}a)}^{2} +  {( \frac{ \sqrt{3} }{2}a)}^{2}   }  =  \sqrt{ \frac{3}{4} {a}^{2} +  \frac{3}{4} {a}^{2}}

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