If the eccentricity of hyperbola `x^2/a^2-y^2/b^2=1` is `5/4` and `2x+3y-6=0` is a focal chord of hyperbola, then length of transverse axis is:

If the eccentricity of hyperbola `x^2/a^2-y^2/b^2=1` is `5/4` and `2x+

1.	If the eccentricity of hyperbola `x^2/a^2-y^2/b^2=1` is `5/4` and `2x+3y-6=0` is a focal chord of hyperbola, then length of transverse axis is:
Answer» Eccentricity of hyperbola `,e = 5/4` Focii of a hyperbola is `(+-ae,0)`. Now, `2x+3y-6 = 0` is the focal chord of hyperbola. `:. 2(+-ae)+3(0) - 6 = 0` `=>2(+-5/4a) = 6` `=>+-5/2a = 6` `=> a = +-12/5` `=>\|a\| = 12/5` `:.` Length of transverse axis `= 2a = 24/5.`

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If the eccentricity of hyperbola `x^2/a^2-y^2/b^2=1` is `5/4` and `2x+3y-6=0` is a focal chord of hyperbola, then length of transverse axis is:

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