/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 6 Find the equation of the sphere ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 6 (page 848)

Find the equation of the sphere center at \((2,-3,4)\) and tangent to the \(xz\) plane.

Short Answer

Expert verified

The equation of sphere is \(x^2+y^2+z^2-4x+6y-8z+20=0\).

Step by step solution

01

Given Information

The center at \((2,-3,4)\).

The tangent plane to the sphere is (\xz\) plane.

02

Find the radius

Since \(xz\) plane is tangent of the sphere, the radius is the y-coordinate of the center.

Therefore, the radius is \(r=3\).

03

Find the equation of sphere

Substitute \((2,-3,4)\) and \(r=3\) into equation of sphere.

\((x-2)^2+(y+3)^2+(z-4)^2=3^2\).

Simplify the equation and the equation is,

\(x^2+y^2+z^2-4x+6y-8z+20=0\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find u+vandu-valso sketch u,v,u+v,u-v

role="math" localid="1649595165778" u=1,-2andv=-3,6

In Exercises 22鈥�29 compute the indicated quantities when u=(2,1,鈭�3),v=(4,0,1),andw=(鈭�2,6,5)

u脳vandv脳u

In Exercises 22鈥�29 compute the indicated quantities when u=(2,1,鈭�3),v=(4,0,1),andw=(鈭�2,6,5)

Find the area of the parallelogram determined by the vectors u and v.

Consider the sequence of sums 13,13+19,13+19+127,13+19+127+181,鈥�

(a) What happens to the terms of this sequence of sums as k gets larger and larger?

(b) Find a sufficiently large value of k which will guarantee that every term past the kth term of this sequence of sums is in the interval (0.49999, 0.5).

Find a vector in the direction of 9,0,-6and with magnitude 7.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.