Chapter 1: Q11. (page 51)

Write the general form of the circle with center $(4, - 3)$ and radius 5.

Short Answer

Expert verified

The general form of the equation is .

$x^{2} + y^{2} - 8 x + 6 y = 0$

Step by step solution

Step 1. Given information.

Consider the given information such that the center is $(4, - 3)$ and radius is $5$ .

Step 2. Standard form of circlex-h2+y-k2=r2 is used to find general form where h,k is center and r is radius.

Using the standard form and substitute the values of $h, k$ and $r$ .

${(x - 4)}^{2} + {(y + 3)}^{2} = 5^{2} x^{2} + y^{2} - 8 x + 6 y + 25 = 25 x^{2} + y^{2} - 8 x + 6 y = 0$

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Write the general form of the circle with center $(4, - 3)$ and radius 5.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Standard form of circlex-h2+y-k2=r2 is used to find general form where h,k is center and r is radius.

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Write the general form of the circle with center 4,-3and radius 5.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Standard form of circlex-h2+y-k2=r2 is used to find general form where h,k is center and r is radius.

One App. One Place for Learning.

Most popular questions from this chapter

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Write the general form of the circle with center $(4, - 3)$ and radius 5.