Question
Download Solution PDFLength of Latus rectum of ellipse \(\rm\frac{x^{2}}{25}+\frac{y^{2}}{49}= 1\) is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Standard equation of ellipse , \(\rm\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}= 1\)
Length of latus rectum , L.R = \(\rm\frac{2a^{2}}{b}\) , if b > a
Calculation:
\(\rm\frac{x^{2}}{25}+\frac{y^{2}}{49}= 1\) ,
On comparing with standard equation , a = 5 and b = 7
We know that , Length of latus rectum = \(\rm\frac{2a^{2}}{b}\)
⇒ L.R = \(\rm\frac{2\times5^{2}}{7}\) = \(\rm\frac{50}{7}\) .
The correct option is 2.
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