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Jamia Millia Islamia MCA Previous Year Questions (PYQs)
Jamia Millia Islamia MCA Ellipse PYQ
Jamia Millia Islamia MCA PYQ
Go to Discussion
Jamia Millia Islamia MCA Previous Year PYQ Jamia Millia Islamia MCA JAMIA MILLIA ISLAMIA MCA 2019 PYQ
A man running a race course notes that the sum of the distances from two flag posts
from him is always $10\,\text{m}$ and the distance between the flag posts is $8\,\text{m}$.
The equation of the path traced by the man is:
Go to Discussion
Jamia Millia Islamia MCA Previous Year PYQ Jamia Millia Islamia MCA JAMIA MILLIA ISLAMIA MCA 2019 PYQ
Solution
Sum of distances from two fixed points (foci) is constant ⇒ ellipse. $2a = 10 \Rightarrow a = 5$ Distance between foci $= 2c = 8 \Rightarrow c = 4$ $b^2 = a^2 - c^2 = 25 - 16 = 9.$ Hence, equation of ellipse: $\dfrac{x^2}{25} + \dfrac{y^2}{9} = 1.$Jamia Millia Islamia MCA
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