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Hyperbola · 2010 · Shift 1

3 Mathematics questions from this JEE Advanced paper

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PYQ Library
JEE Advanced
Papers
2010 · Shift 1
Mathematics
Hyperbola

Hyperbola · 2010 · Shift 1

3 Mathematics questions from this JEE Advanced paper

Q36.The circle $x^{2} + y^{2} - 8 x = 0$ and hyperbola $\frac{x ^{2}}{9} - \frac{y ^{2}}{4} = 1$ intersect at the points $A$ and $B$ . Equation of a common tangent with positive slope to the circle as well as to the hyperbola is
Mathematics · Hyperbola · MCQ
Q37.The circle $x^{2} + y^{2} - 8 x = 0$ and hyperbola $\frac{x ^{2}}{9} - \frac{y ^{2}}{4} = 1$ intersect at the points $A$ and $B$ . Equation of the circle with $A B$ as its diameter is
Mathematics · Hyperbola · MCQ
Q38.The line $2 x + y = 1$ is tangent to the hyperbola $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ . If this line passes through the point of intersection of the nearest directrix and the $x$ -axis, then the eccentricity of the…
Mathematics · Hyperbola · Numerical