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The Hyperbola

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 UNIT 10  : THE CONICS

 LESSON 5:  HYPERBOLA HOMEWORK QUESTIONS

 

 

 

 QUICK REVIEW:

 

 Hyperbola with foci on the x-axis:

Text Box: Main Ideas: See diagrams at left and above.
·	The sum |PF2 -  PF1 | = constant = 2a 
·	A2A1 is the Transverse Axis and  |A2A1| = 2a
·	B2B1 is the Conjugate Axis and  |B2B1| = 2b
	
·	The standard form of the equation of a hyperbola, centre (0, 0), foci on the x-axis:is:
	                            
·	The standard form of the equation of a hyperbola, centre (0, 0), foci on the y-axis:is:
	                              
·	The standard form of the equation of a hyperbola, centre (h, k), 
       major axis parallel to the x-axis:is:
                            
·	The standard form of the equation of an hyperbola, centre (h,k), 
       major axis parallel to the y-axis:is:
                                          
·	                             
·	For the hyperbola the Pythagorean relation  c2 = a2 + b2  holds true.
 
       

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Hyperbola with foci on the y-axis:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solutions:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


 


 


 

 


 


 

 


 

 

 


 

 


 

 

 

 

 

 

 

 

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