Q81.If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a4 + b4 + c4 is equal to:
What This Question Tests
This question tests the ability to manipulate symmetric polynomial expressions and use given elementary symmetric sums to find the sum of fourth powers.
Concepts Tested
Formulas Used
a+b+c, ab+bc+ca, abc relationships
a^2+b^2+c^2 = (a+b+c)^2 - 2(ab+bc+ca)
a^4+b^4+c^4 = (a^2+b^2+c^2)^2 - 2(a^2b^2+b^2c^2+c^2a^2)
📚 NCERT Sections This Tests
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
13.5 — The Q Value Of A Nuclear Reaction A + B ® C + D Is Defined By
Physics Class 12 · Chapter 13
13.5 The Q value of a nuclear reaction A + b ® C + d is defined by Q = [ mA + mb – mC – md]c2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic. (i) 11 H+13 H →12 H+12 H (ii) 126 C+126 C →1020 Ne+ 24 He Atomic masses are given to be m ( 12 H ) = 2.014102 u m ( 13 H) = 3.016049 u m ( 126 C ) = 12.000000 u m ( 1020 Ne ) = 19.992439 u
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Symmetric Polynomials / Vieta's Formulas
- Year
- 2021
- Shift
- 25 Jul Shift 2
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 10 Mathematics Ch 2: Polynomials (basic identities), Class 11 Mathematics Ch 5: Complex Numbers (polynomial roots)
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