RankLab
Back to Questions
MathsMediumMCQ2022 ยท 27 Jun Shift 1

Q71.The number of distinct real roots of x4 โˆ’4x + 1 = 0 is (1) 0 (2) 1 (3) 2 (4) 4

What This Question Tests

This question requires finding the number of distinct real roots of a polynomial equation by analyzing its derivative, identifying local extrema, and understanding the general shape of its graph.

Concepts Tested

Number of real rootsDerivative of a functionLocal maxima/minimaGraph sketching

Formulas Used

f'(x) = 0 for critical points

Second Derivative Test for local extrema

๐Ÿ“š NCERT Sections This Tests

1.3 โ€” Define The Following Terms:

Chemistry Class 11 ยท Chapter 1

72% match

1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.

14.2 โ€” Which Of The Statements Given In Exercise 14.1 Is True For P-Type

Physics Class 12 ยท Chapter 14

71% match

14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.

4.13 โ€” How Is The Variability In Oxidation States Of Transition Metals Different From

Chemistry Class 11 ยท Chapter 4

71% match

4.13 How is the variability in oxidation states of transition metals different from that of the non transition metals? Illustrate with examples.