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If the line y = mx + sqrt(a^(2)m^(2) - b...

If the line `y = mx + sqrt(a^(2)m^(2) - b^(2)) ` touches the hyperbola `x^(2)/a^(2) - y^(2)/b^(2) = 1` at the point `(a sec theta, b tan theta)`, then find `theta` .

A

`sin^(-1)m`

B

`sin^(-1)(a/(bm))`

C

`sin^(-1)(b/(am))`

D

`sin^(-1)((bm)/a)`

Text Solution

Verified by Experts

The correct Answer is:
C
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