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_____

Question

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_____

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

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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)`

4 views Answered 2023-02-05 15:29