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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 ,` then `m` is (a)`1/2` (b) 2 (c) 4 (d) 8

A

a. `1//2`

B

b. 2

C

c. 4

D

d. 8

Text Solution

Verified by Experts

The correct Answer is:
A, D
`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`.
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