Two sides of a triangle are parallel to the coordinate axes. If the slopes of the medians through the acute angles of the triangle are 2 and `m ,` the `m=` `1/2` (b) 2 (c) 4 (d) 8

Options

A. `1//2`
B. 2
C. 4
D. 8

Answer

A, D

Explanation

`m_(1) = "Slope of " AD = -(a)/(2b)`
`m_(2) = "Slope of " BE = -(2a)/(b)`
`therefore (m_(1))/(m_(2)) = (1)/(4)`

If `m_(1) =2, " then " m_(2) = m=8`
If `m_(2) = 2, "then " m_(1) = m =1//2`.