Chapter 1: Q 34. (page 51)

Show that the points $A (1, 5), B (- 3, 5)$ and
$C (- 3, 5)$ lie on a circle with center $(- 1, 2)$ . What is the radius of the circle.

Short Answer

Expert verified

Since the distance of all points from center is same so they are all lie on same circle and radius is $\sqrt{13}$ .

Step by step solution

Step 1. Given information .

Consider the given points $A (1, 5), B (2, 4)$ and $C (- 3, 5)$ and center $O (- 1, 2)$ .

Step 2. Using distance formula to check the distance of points from center.d=x2-x12+y2-y12

The formula used to find distance.

$d (O A) = \sqrt{{(1 + 1)}^{2} + {(5 - 2)}^{2}} d (O A) = \sqrt{13} d (O B) = \sqrt{{(2 + 1)}^{2} + {(4 - 2)}^{2}} d (O B) = \sqrt{13}$

Further simplify.

$d (O C) = \sqrt{{(- 3 + 1)}^{2} + {(2 - 5)}^{2}} d (O C) = \sqrt{13}$

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Show that the points $A (1, 5), B (- 3, 5)$ and
$C (- 3, 5)$ lie on a circle with center $(- 1, 2)$ . What is the radius of the circle.

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Using distance formula to check the distance of points from center.d=x2-x12+y2-y12

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Show that the points A1,5,B-3,5andC-3,5lie on a circle with center -1,2. What is the radius of the circle.

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Using distance formula to check the distance of points from center.d=x2-x12+y2-y12

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Show that the points $A (1, 5), B (- 3, 5)$ and
$C (- 3, 5)$ lie on a circle with center $(- 1, 2)$ . What is the radius of the circle.