The eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x−3y=2, is

The eccentricity of the hyperbola with asymptotes $3 x + 4 y = 2$ and $4 x - 3 y = 2,$ is

A
$\sqrt{2}$
B
$\frac{5}{3}$
C
$\frac{2}{3}$
D
none

Solution:

Clearly, asymptotes are at right angle. So, the hyperbola is a rectangular hyperbola with eccentricity $\sqrt{2}$ .

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