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  • Where does the point (5,5) lie w.r.t the ellipse <img alt="\frac{x^2 }{5} + \frac{y^2 }{10} = 2" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cfrac%7Bx%5E2%20%7D%7B5%7D%20&plus;%

Where does the point (5,5) lie w.r.t the ellipse \frac{x^2 }{5} + \frac{y^2 }{10} = 2

Option: 1

Outside 


Option: 2

On the ellipse 


Option: 3

Inside 


Option: 4

None of these 


Answers (1)

best_answer

Ellipse equation can be re-written in standard form as

\frac{x^2}{10}+\frac{y^2}{20}=1

\frac{x^2}{10}+\frac{y^2}{20}-1=0

Checking the given point

 S_1 = \frac{5^2 }{10}+ \frac{5^2 }{20 } -1 = 2.75 > 0

Thus, it lies outside the ellipse 

 

Posted by

Kuldeep Maurya

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