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

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

Parametric equations

Asked by 15th March 2010, 1:55 AM
Answered by Expert
Answer:

(c) a parabola,

Add the two given equations,

x+y = 2(t2+1)

t2+1 = (x+y)/2  ... (1)

Subtract the given two equations,

t = (x-y)/2  

Put this t into (1),

(x-y)2/22 + 1 = (x+y)/2

x2 - 2xy + y2 + 4 = 2x+2y

x2 - 2xy + y2 - 2x - 2y + 4 = 0 

Comparing this with the standard form,

Ax2 +  Bxy + Cy2 + Dx + Ey + F = 0

we find, B2 - 4AC = 0, which tells us it's a parabola.

Regards,

Team,

TopperLearning. 

 

 

Answered by Expert 15th March 2010, 11:33 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!

Chat with us on WhatsApp