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Chapter 1: Q 29. (page 51)

Find the standard form of the equation of the circle whose center and radius are given.
$(h, k) = (- 1, - 2)$ and $r = 1$

Short Answer

Expert verified

Standard form of the equation is ${(x + 1)}^{2} + {(y + 2)}^{2} = 1$ .

Step by step solution

01

Step 1. Given information.

Consider the given center and radius .

02

Step 2. Using the standard form equation.x-h2+y-k2=r2

Substitute the value of $h, k, r$ .

${(x + 1)}^{2} + {(y + 2)}^{2} = 1$

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Most popular questions from this chapter

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_{1} = (a, b); P_{2} = (0, 0)$

The figure shows the graph of two perpendicular lines. Which of the following pairs of equations might have such a graph?

$(a) y - 2 x = 2 y + 2 x = - 1 (b) y - 2 x = 0 2 y + x = 0 (c) 2 y - x = 2 2 y + x = - 2 (d) y - 2 x = 2 x + 2 y = - 1 (e) 2 x + y = - 2 2 y + x = - 2$

If two distinct lines have the same $y$

intercept, but different slopes, can they have the same $x$ -intercept?

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .

$P_{1} = (4, - 3); P_{2} = (6, 4)$

Plot the points $(0, 3), (1, 3), (- 2, 3), (5, 3),$ and $(- 4, 3)$ . Describe the set of all points of the form $(x, 3)$ , where x is a real number.

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