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If the distance between two parallel tangents having slope `m` drawn to the hyperbola `(x^2)/9-(y^2)/(49)=1` is 2, then the value of `2|m|` is_____

A

`pm5//2`

B

`pm4//5`

C

`pm7//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
According to the question,
`(2sqrt(9x^(2)-49))/(sqrt(1+m^(2)))=2`
`"or "9x^(2)-49=1+m^(2)`
`"or "8x^(2)=50`
`"or "m=pm(5)/(2)`
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