/*! 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. 13 For the hyperbola x24-y29=1, the... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 13 (page 667)

For the hyperbola x24-y29=1, the value of ais __ , the value of b is ___ , and the transverse axis is the ___ -axis.

Short Answer

Expert verified

For the hyperbola x24-y29=1, the value of ais 2, the value of bis 3, and the transverse axis is the x-axis.

Step by step solution

01

Step 1. Given Information

The given equation isx24-y29=1.

02

Step 2. Objective of the Problem

We need to find the value of a,and band also find the transverse axis.

03

Step 3. Concept 

An equation of the hyperbola with centre at (0,0), foci at (-c,0)and (c,0),

and vertices at (-a,0)and (a,0)is

x2a2-y2b2=1, where b2=c2-a2

Here the transverse axis is the x-axis.

04

Step 4. Finding the value of a,b and the transverse axis.

The given equation x24-y29=1is of the form x2a2-y2b2=1, where a2=9and b2=4.

We have a2=4.This implies, a=4=2.

Further, we have b2=9.This implies, b=9=3.

Further, the transverse axis is thex-axis.

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 the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.

Focus at 4,0and vertex at0,0.

Rutherford鈥檚 Experiment In May 1911, Ernest Rutherford published a paper in Philosophical Magazine. In this article, he described the motion of alpha particles as they are shot at a piece of gold foil 0.00004 cm thick. Before conducting this experiment, Rutherford expected that the alpha particles would shoot through the foil just as a bullet would shoot through snow. Instead, a small fraction of the alpha particles bounced off the foil. This led to the conclusion that the nucleus of an atom is dense, while the remainder of the atom is sparse. Only the density of the nucleus could cause the alpha particles to deviate from their path. The figure shows a diagram from Rutherford鈥檚 paper that indicates that the deflected alpha particles follow the path of one branch of a hyperbola.

(a) Find an equation of the asymptotes under this scenario.

(b) If the vertex of the path of the alpha particles is 10cm from the center of the hyperbola, find a model that describes the path of the particle.

The graph of a parabola is given. Match graph to its equation.

and equations of the parabola areA)y2=4xC)y2=-4xE)(y-1)2=4(x-1)G)(y-1)2=-4(x-1)B)x2=4yD)x2=-4yF)(x+1)2=4(y+1)H)(x+1)2=4(y+1)

In Problems 43鈥�52, identify the graph of each equation without applying a rotation of axes.

2x2-3xy+4y2+2x+3y-5=0

If 胃is acute, the Half-angle Formula for the sine function isrole="math" localid="1646654694239" sin胃2=______.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

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.