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Chapter 13: Q. 20 (page 526)

Find the center and radius of each circle.

x+a2+y鈭�b2=c2

Short Answer

Expert verified

The center is (-a, b) and the radius is c.

Step by step solution

01

Step-1 – Given

The given equation isx+a2+y鈭�b2=c2.

02

Step-2 – To determine

We have to find the center and the radius of the given circle.

03

Step-3 – Calculation 

We compare the given equationx+a2+y鈭�b2=c2 with the standard form of a circle:x鈭�a2+y鈭�b2=r2.

Here (a, b) is the center and r being the radius.

Comparing the two equations we get: a = - a, b = b and r = c.

So, the center is (- a, b) and the radius is c.

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