World's only instant tutoring platform
dropdown-logo
Get 2 FREE Instant-Explanations on Filo with code FILOAPP
Question

Find the equation for the ellipse that satisfies the given conditions: Centre at , major axis on the -axis and passes through the points and

tutor 0tutor 1tutor 2
Found 3 tutors discussing this question
Discuss this question LIVE
11 mins ago

Text SolutionText solutionverified iconVerified

Since the centre is at and the major axis is on the -axi,s the equation of the ellipse will be of the form,

where is the semi-major axis.
The ellipse passes through points and
Hence, 

On solving equations (2) and (3), we obtain  and 
Thus the equation of the ellipse is  or
Was this solution helpful?
150
Share
Report
One destination for complete JEE/NEET preparation
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
Instant 1:1 help, 24x7
60, 000+ Expert tutors
60, 000+ Expert tutors
Textbook solutions
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Big idea maths, McGraw-Hill Education etc
Essay review
Essay review
Get expert feedback on your essay
Get expert feedback on your essay
Schedule classes
Schedule classes
High dosage tutoring from Dedicated 3 experts
High dosage tutoring from Dedicated 3 experts
Trusted by 4 million+ students
filo Logo
Doubt Icon Doubt Icon

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes
Question Text
Find the equation for the ellipse that satisfies the given conditions: Centre at , major axis on the -axis and passes through the points and
Answer TypeText solution:1
Upvotes150