Q63.Suppose f(x) is a polynomial of degree four having critical points at −1, 0, 1. If T = {x ∈R |f(x) = f(0)}, then the sum of squares of all the elements of T is : (1) 4 (2) 6 (3) 2 (4) 8
What This Question Tests
This question tests the understanding of critical points and the general shape of a quartic polynomial, using the symmetry implied by critical points at -1, 0, 1 to find other roots of f(x) = f(0).
Concepts Tested
Formulas Used
f'(x) = 0 for critical points
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Critical Points and Maxima/Minima
- Year
- 2020
- Shift
- 03 Sep Shift 2
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Application of Derivatives
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