marykmclean marykmclean

Today at 2:49 PM
Mathematics

Answered

If the equation of a circle is (x - 2)2 + (y - 6)2 = 4, it passes through point (5,6). True or false

Answer :

Mistadijex Mistadijex

Today at 2:54 PM

Answer: False

Step-by-step explanation:

To know if the circle passes through the given point, we simply insert the coordinates of the given point (5,6) into the general equation Of the Circle. If left hand side of the equation balances with the right hand side, then the circle passed through the point.

The equation of the circle is (x-2)² + (y-6)² = 4

By inserting the given coordinates (5,6) we have.

(5-2)² + (6-6)² = 3² =9

Since the answer gotten is not 4, then the circle does not pass through the point (5,6)

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