Q51.If α and β are the roots of the equation, 7x2 −3x −2 = 0, then the value of α + β is equal to: 1−α2 1−β2 (1) 27 (2) 1 32 24 (3) 3 (4) 27 8 16
What This Question Tests
This question tests the application of Vieta's formulas for the sum and product of roots of a quadratic equation, followed by algebraic manipulation to evaluate a given expression involving the roots.
Concepts Tested
Formulas Used
α+β = -b/a
αβ = c/a
📚 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
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.
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
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Symmetric functions of roots
- Year
- 2020
- Shift
- 05 Sep Shift 2
- Q Number
- Q51
- Type
- MCQ
- NCERT Ref
- Class 10 Mathematics Ch 4: Quadratic Equations
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