Question
Question: If product of the roots of the equation 3x<sup>2</sup> – 4x + (loga<sup>2</sup> – log(–a) + 3) = 0 ...
If product of the roots of the equation
3x2 – 4x + (loga2 – log(–a) + 3) = 0 is 1, then 'a' =
A
Not possible
B
– 1
C
1
D
None of these
Answer
– 1
Explanation
Solution
\a>0 Ž a < 0 ....(i)
Now 3loga2–log(–a)+3=1
Ž a2 = – a, Ž a = 0, – 1 ..(ii), form (i) & (ii) Ž a = – 1