Question

if the point (X,4 ) lies on the circle whose center is at the origin and diameter is 10 find x

please fast urgent

Answer 1

as diameter of circle is 10 units
therefore radius = 5
therefore distance between P ( x , 4 ) and origin ( 0 , 0 ) is 5 units

using distance formula:
distance = √[(x1-x2)²+(y1-y2)²]
therefore,
5 = √[(x-0)²+(4-0)²]
5² = x² + 16
25 - 16 = x²
x = √9 = 3

therefore x = 3

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Answer 2

The value of X is 3
such that X=3