Given that
has no real roots and
, then
Text Solution
Verified by ExpertsC
For the quadratic function
to have no real zeroes, the discriminant must be less than zero:
.
It is also given that
. We need to analyze the implications of this inequality.
Since
and the quadratic function has no real zeroes, the graph of the function does not cross the
-axis. This means that the function is either entirely above the
-axis or entirely below the
-axis.
Given that
, the function
must be entirely below the x -axis for all values of
. This implies that
must be less than zero to satisfy the inequality
when
and
are constants.
Therefore, the correct answer is
.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
.