The real value of a for which the value of `m`
satisfying the equation `(a^2-1)m^2-(2a-3)m+a=0`
given the slope of a line parallel to the y-axis is
(a)`3/2`
(b) 0
(c) 1 (d)
`+-1`
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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CENGAGE-COORDINATE SYSTEM-Multiple Correct Answers Type
