If t - 1 and -t -1, t ∈ R, are the roots of (a + 2) x2 + 2ax - 1 = 0 then complete set of values of 'a' is :
( 0, ∞)
( - ∞, 0)
( -∞, ∞)
∅
−2aa+2 = -2 => a+2 = a
Therefore set of values of a is null , i.e ∅
Find the values of 't' in the equation x2 - 2tx + t2 - 1 = 0 such that exactly one root lies in between the numbers 2 and 4, and no root of the equation is either 2 (or) 4.