Determine whether the statement is true or false.
The circle (x+4)^2=85 passes through the point (2,-5).
The statement is_

Solution:

Given equation of circle is:

Given statement is:

A circle passes through point (2, -5)

We have to say whether the statement is true or false

Substitute x = 2 and y = -5 in given equation

The point (2 , -5) satisfies the given circle equation

Thus the statement is true

statement is true!

Step-by-step explanation:

Here we have , The circle passes through the point (2,-5). We need to find that this statement is true or false . We have the following equation of circle :

Now, In order to say that point (2,-5) passes through this circle , this point must satisfy the equation of circle i.e. . Let's value of this point in equation of circle:

⇒

⇒

⇒

⇒

⇒

Since, on putting value of (2,-5) we get 85 , this point lies on the circle with equation . And so statement is true!

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