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Chapter 1: Q 35. (page 51)

The endpoints of the diameter of a circle are -3,2and 5,-6. Find the center and radius of the circle .Write the general equation of this circle.

Short Answer

Expert verified

Center and radius of circle are1,-2and32and general form of equation isx2+y2-2x+4y=27.

Step by step solution

01

Step 1. Given information.

Consider the given endpoints-3,2and5,-6.

02

Step 2. Formula used for center and radius .x1+x22 ,y1+y22 and d=x2-x12+y2-y12

-3+52,2-621,-2

Further simplify.

dOA=1+32+-2,-22dOA=32dOB=1-52+-2+62dOB=32

Further simplify.

03

Step 3. Using standard form of circle to find general form.x-h2+y-k2=r2

Substitute the value of h,k,r.

x-12+y+22=322x2+y2-2x+4y=27

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