Chapter 10: Q12. (page 383)

To find the position of the center of circle respect to $\vec{X Y}$ .

Short Answer

Expert verified

The center lies in the perpendicular bisector $X Y$ and is equidistant from the points $X$ and $Y$ .

Step by step solution

Step 1. Given information.

Line $l$ ; points $X$ and $Y$ .

A circle through $Y$ and tangent to $l$ at $X$ .

Given figure,

Step 2. Concept Used.

Observe the figure.

Draw $\vec{X Y}$ .

Construct a perpendicular bisector of $\vec{X Y}$ as shown below.

Note that the center lies in the perpendicular bisector $\vec{X Y}$ and is equidistant from the points $X$ and $Y$ .

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To find the position of the center of circle respect to $\vec{X Y}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

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To find the position of the center of circle respect to XY→.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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To find the position of the center of circle respect to $\vec{X Y}$ .