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If the line x = a + m, y = -2 and y = m...

If the line `x = a + m, y = -2` and `y = mx` are concurrent, then least value of `|a|` is

A

0

B

`sqrt(2)`

C

`2sqrt(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Since, line x = a +m, yh = -2 and y = mx are concurrent.
`therefore -2 = m(a+m)`
`rArr m^(2) + am + 2 = 0`
Here, `D^(2) = 4ac`
`rArr a^(2) = 4 xx 2`
`rArr |A| = 2sqrt(2)`
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