# A circle has a center that falls on the line #y = 3/7x +3 # and passes through # ( 2 ,8 )# and #(3 ,5 )#. What is the equation of the circle?

The standard form of the equation of a circle is given as:

Where:

If the centre lie on the line

We are given two points on the circumference of the circle:

Using:

Solving simultaneously:

In

Centre of circle is at

Using this and point

Equation of circle is:

PLOT:

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The equation of the circle is: ( (x - 2)^2 + (y - 8)^2 = \frac{1}{74}((7x - 3y - 16)^2 + 74) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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