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Let P(x, y) is a variable point such th...

Let `P(x, y)` is a variable point such that `|sqrt((x-1)^2+(y-2)^2)-sqrt((x-5)^2+(y-5)^2)|=3` , which represents hyperbola. The eccentricity e' of the corresponding conjugate hyperbola is (A) `5/3` (B) `4/3` (C) `5/4` (D) `3/sqrt7`

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Verified by Experts

The correct Answer is:
B
The slope of the transverse axis is 3/4.
Therefore, the angle of rotation is
`theta=tan^(-1).(3)/(4)`
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CENGAGE PUBLICATION-HYPERBOLA-COMOREHENSION TYPE
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