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Hyperbola · 2024 · 31 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

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2024 · 31 Jan · Shift 1
Mathematics
Hyperbola

Hyperbola · 2024 · 31 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

Q50.If the foci of a hyperbola are same as that of the ellipse $\frac{x ^{2}}{9} + \frac{y ^{2}}{25} = 1$ and the eccentricity of the hyperbola is $\frac{15}{8}$ times the eccentricity of the ellipse, then the smaller focal distance of the point $(2, \frac{14}{3} \frac{2}{5})$ …
Mathematics · Hyperbola · MCQ
Q57.Let the foci and length of the latus rectum of an ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1, a > bb e (\pm 5, 0)$ and $50$ , respectively. Then, the square of the eccentricity of the hyperbola $\frac{x ^{2}}{b ^{2}} - \frac{y ^{2}}{a ^{2} b ^{2}} = 1$ …
Mathematics · Hyperbola · Numerical