Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 27a + 9b + 3c + d = 0, then the equation
4ax3 + 3bx2 + 2cx + d = 0, has at least one real root lying between
Text Solution
Verified by ExpertsThe correct answer is:
C
+ 
+ 
+ dx = f(x)
f(x) = ax 4 + bx 3 + cx 2 + dx
By option x = 0 → f(0) = 0
x = 1 → f(1) = a + b + c + d ≠ 0
x = 3 → f(3) = 27 a + 9b + 3c + d = 0
⇒ x = (0, 3) has atleast one root of equation
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
If f(x) = cos π x + 10x + 3x 2 + x 3 , – 2 ≤ x ≤ 3 then absolute minimum value of f(x) is-
The function f(x) = x 5 – 5x 4 + 5x 3 – 1 has-
The function f(x) = has no extrema. if (n ∈ z)
If x exceeds by its square by the greatest possible quantity then x is-
An extreme value of the function
f(x) = (sin –1 x) 3 + (cos –1 x) 3 (–1 < x < 1) is
Let f(x) = (t + 4) 4 log (t+ 1) dt, then -