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Chapter 13: Q. 20 (page 526)

Find the center and radius of each circle.

x+a2+y−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−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−b2=c2 with the standard form of a circle:x−a2+y−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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Most popular questions from this chapter

Find the distance between the two points. If necessary, you may draw graphs but you shouldn’t need to use the distance formula.

  1. (3, -4) and (-1, -4)

Use the distance formula to find the distance between the two points.

  1. (12, -1) and (0, -6)

In Exercises 27-32 find and then compare lengths of segments.

Triangles JAN and RFK have vertices J(-2, -2), A(4, -2), M(2, 2), R(8, 1), F(S, 4), and K(6, 3). Show that triangle JAN is similar to triangle RFK.

a. Find the slope of AB.

b. Find tan n°.

c. Consider the statement: If a line with positive slope makes an acute angle of n° with the x-axis, then the slope of the line is tan n°. Do you think this statement is true or false? Explain.

Use the distance formula to find the distance between the two points.

  1. (5, 4) and (1, -2)
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