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The real value of a for which the valye ...

The real value of a for which the valye of m satisfying the equation `(a^(2)-1)m^(2)-(2a-3)m +a =0` gives the slope of a line parallel to the y-axis is

A

`(3)/(2)`

B

0

C

1

D

`+-1`

Text Solution

Verified by Experts

The correct Answer is:
D
A line parallel to y-axis has the slope `oo`.
`:. (a^(2)-1)m^(2)-(2a-3)m+a = 0` must have one root as infinity.
`:. a^(2) -1 = 0 ( :'` both roots cannot be `oo`, otherwise `a^(2)-1 = 0, 2a - 3 = 0` are to hold for the same a)
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