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The point p=(2/5,y) lies on the unit circle below what is the value of y in simplest form

The point p=(2/5,y) lies on the unit circle below what is the value of y in simplest-example-1
User Mainas
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1 Answer

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Explanation:

distance of (1,0) from the origin is,

√{(1-0)²+(0-0)²}

= √1

= 1

So the radius of the circle is 1,

now for the point (2/5,y) distance from origin should be the same since it's the radius

so,

√{(2/5-0)²+(y-0)²} = 1

or, √(4/25+y²)=1

or, 4/25+y²=1

or, y² = 1-4/25

or, y²=21/25

or, y=√(21/25)

or, y=√21/5

so, the simplest form of y is,


( √(21) )/(5)

User Aggressionexp
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