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Maharashtra State Board
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11th
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Mathematics & Statistics Part 1
Conic Sections
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The eccentricity of the hyperbola \(\frac{x^2}{16}-\frac{y^2}{9}=1\) is
Answer: D. 5/4 e=√(1+b²/a²)=sqrt1+frac916=5/4 .
Conic Sections
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The length of the latus rectum of the ellipse \(\frac{x^2}{25}+\frac{y^2}{16}=1\) is
Answer: A. 32/5 2b²/a=2×16/5=32/5 .
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