The eccentricity of the hyperbola 3 x 2-4 y 2-12 isA- -7-3B- -7-2-7-3D- -7-2

The correct option is A The given equation can be written as x^2/4+y^2/3=1. The eccentricity of this hyperbola is given by e=√(1+a^2/b^2)=√(1+4/3)=√(7/3) ...

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Standard XII

Mathematics

Point Form of Tangent: Hyperbola

The eccentric...

Question

The eccentricity of the hyperbola $3 x^{2} - 4 y^{2} = - 12$ is

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Solution

The correct option is A
The given equation can be written as $- \frac{x^{2}}{4} + \frac{y^{2}}{3} = 1$ .
The eccentricity of this hyperbola is given by

$e = \sqrt{1 + \frac{a^{2}}{b^{2}}} = \sqrt{1 + \frac{4}{3}} = \sqrt{\frac{7}{3}}$

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The eccentricity of the hyperbola 3x2−4y2=−12 is

The correct option is A The given equation can be written as −x24+y23=1. The eccentricity of this hyperbola is given by e=√1+a2b2=√1+43=√73

The eccentricity of the hyperbola $3 x^{2} - 4 y^{2} = - 12$ is

The correct option is A
The given equation can be written as $- \frac{x^{2}}{4} + \frac{y^{2}}{3} = 1$ .
The eccentricity of this hyperbola is given by

$e = \sqrt{1 + \frac{a^{2}}{b^{2}}} = \sqrt{1 + \frac{4}{3}} = \sqrt{\frac{7}{3}}$