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If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4, `((1)/(2) lt m lt 3)`, then the values of m are

A

`(1)/(7)(1+-5sqrt3)`

B

`(1)/(7)(1+-5sqrt5)`

C

`(1)/(7)(1+-5sqrt2)`

D

`(1)/(7)(1+-3sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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