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If the eccentricity of the standard hype...

If the eccentricity of the standard hyperbola passing through the point (4, 6) is 2, then the equation of the tangent to the hyperbola at (4, 6) is

A

` x - 2y + 8 = 0 `

B

` 2 x - y - 2 = 0 `

C

` 3x - 2y = 0 `

D

` 2x - 3y + 10 =0 `

Text Solution

AI Generated Solution

To find the equation of the tangent to the hyperbola at the point (4, 6), we will follow these steps: ### Step 1: Identify the standard form of the hyperbola The standard form of the hyperbola is given by: \[ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \] ...
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