Q81.If p and q are real number such that p + q = 3, p4 + q4 = 369 , then the value of −2 ( p1 + 1q ) is equal to is equal to _____.
What This Question Tests
This question tests the ability to use algebraic identities and relationships between sum and product of powers of two variables to solve for an expression, given their sum and sum of fourth powers.
Concepts Tested
Formulas Used
p+q
p^2+q^2 = (p+q)^2 - 2pq
p^4+q^4 = (p^2+q^2)^2 - 2(pq)^2
📚 NCERT Sections This Tests
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
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
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Algebraic Identities, Roots of Polynomials
- Year
- 2022
- Shift
- 26 Jun Shift 2
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 10 Mathematics Ch 4: Quadratic Equations (basic identities), Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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