deduce the canonical equation of the given second order curve 4x^2+3y^2-8x+12y-32

Canonical equation of the second order curve
in Other Math Topics by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

4(x^2-2x+1)+3(y^2+4y+4)-16-32; 4(x-1)^2+3(y+2)^2-48.

4X^2+3Y^2-48 suggests an ellipse: standard form x^2/a^2+y^2/b^2=1. The origin of the ellipse is (1,-2) and the semi major and semi minor axes are given by a=sqrt(48/4)=2sqrt(3) and b=sqrt(48/3)=4.

by Top Rated User (1.1m points)

Related questions

1 answer
prove and deduce the limits
asked Mar 3, 2014 in Calculus Answers by joebright Level 1 User (120 points) | 597 views
1 answer
write this equation of parabola in its canonical form:x^2-6x-4y+13=0
asked Jan 27, 2013 in Geometry Answers by anonymous | 2.6k views
1 answer
Reduce uxx+2xuxy+(1-y^2)uyy=0 to canonical form.
asked Sep 6, 2021 in Other Math Topics by Niyonshuti theogene Level 1 User (120 points) | 602 views
1 answer
how to expand a boolean function into canonical form?
asked Jun 12, 2014 in Other Math Topics by anonymous | 1.5k views
1 answer
convert to canonical form uxx+x^2uyy=0
asked May 19, 2014 in Other Math Topics by anonymous | 2.5k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. complete the following. 825 use each digit once .make the two smallest 3 digit numbers and two largest 3-digit number (2)
  4. Solve 15 -1(12÷4+1)? (4)
  5. 8:4(5+2) (3)

Most popular tags

87,540 questions
99,812 answers
2,417 comments
524,377 users