Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739
For Business Enquiry

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

F i n d space t h e space e q u a t i o n space o f space t h e space h y p e r b o l a space w i t h space X minus a x i s space a s space t h e space t r a n s v e r e space a x i s space c e n t e r e d space a t space o r i g i n comma space p o i n t space left parenthesis 3 comma 1 right parenthesis
l i e s space o n space t h e space h y p e r b o l a space a n d space left parenthesis 4 comma 2 right parenthesis space l i e s space o n space t h e space a s y m p t o t e space o f space t h i s space h y p e r b o l a

Please provide solution to this question Please provide solution to this question

Asked by Topperlearning User 17th November 2016, 2:14 AM
Answered by Expert
Answer:

T h e space h y p e r b o l a space w i t h space X minus a x i s space a s space t h e space t r a n s v e r e space a x i s space c e n t e r e d space a t space o r i g i n
i s space o f space t h e space f o r m space x squared over a squared minus y squared over b squared equals 1
T h e space a s y m p t o t e s space o f space t h i s space h y p e r b o l a space w i l l space b e space o f space t h e space f o r m space y equals plus-or-minus b over a x
G i v e n space left parenthesis 3 comma 1 right parenthesis space l i e s space o n space t h e space h y p e r b o l a space s o
9 over a squared minus 1 over b squared equals 1
rightwards double arrow 9 b squared minus a squared equals a squared b squared
G i v e n space left parenthesis 4 comma 2 right parenthesis space l i e s space o n space t h e space a s y m p t o t e space s o space w e space h a v e space t o space t a k e space t h e space a s y m p t o t e
w i t h space p o s i t i v e space s l o p e space a s space t h e space p o i n t space l i e s space i n space t h e space f i r s t space q u a d r a n t space s o
2 equals b over a 4
rightwards double arrow a equals 2 b
9 b squared minus a squared equals a squared b squared
rightwards double arrow 9 b squared minus 4 b squared equals 4 b to the power of 4
rightwards double arrow b squared equals 5 over 4
a squared equals 5
T h e space r e q u i r e d space e q u a t i o n space i s space x squared over 5 minus fraction numerator 5 y squared over denominator 4 end fraction equals 1

Answered by Expert 17th November 2016, 4:14 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Free related questions

17th October 2016, 11:39 AM
20th October 2016, 12:56 PM
13th November 2016, 11:25 PM

Chat with us on WhatsApp