The line y=x+1 intersects the circlex2+y2-4x-2y+10, at points A and B. If C is the centre of the circle, find the: Centre and radius of the circle; Co-ordinates of A and B. The end points of a diameter of a circle are (6, 2) and(4,-3). Find the equation of the circle.

Step-by-step explanation:

The current equation of the circle is:

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In order to get it into the standard form;

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We must complete the square;

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Now, collect like terms and rearrange;

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We now know that the Centre is at the point (2, 1).

We can use the distance formula to find the radius;

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Therefore the radius squared is 17.

Now substitute into our equation:

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that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values