Q. 9

Question

Consider the equation $x^{2} + y^{2} = 4 .$

(a) What does this equation represent in a two dimensional system?

(b) What does this equation represent in a three dimensional system?

Step-by-Step Solution

Verified

Answer

(part a) The given equation indicates the circle in two dimensions.

(part b) In three-dimensional systems, the cylinder is represented by the given equation.

1Step1: Introduction.

Two-Dimensional Systems underscores practical steps to regulation and filters under real-world limitations and employs off-the-shelf operating systems to accomplish its objectives.

2Step2: Given information (part a).

Given equation is,

$x^{2} + y^{2} = 4 .$

3Step3: Explanation (part a).

In two dimensional systems, the given equation describes the circle.

4Step4: Given information (part b).

Given equation is,

$x^{2} + y^{2} = 4 .$

5Step5: Explanation (part b).

In three-dimensional systems, the cylinder is represented by the given equation.

Q 6 TB

Q. 11

Other exercises in this chapter

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What are the coordinates of the vertices of a cube with side length 2, whose center is at the origin, and whose faces are parallel to the coordinate planes?&nbs

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Q 6 TB

To find the equation of circle in ℝ2having center at (-4, 3) and passing through (5, -2)

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Q. 11

What point is symmetric about the origin to the point (5,−6,7)?

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Q. 11

What point is symmetric about the origin to the point $(5, −6, 7)$?

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