Q81.The sum of all integral values of k(k ≠0) for which the equation x−12 − x−21 = k2 in x has no real roots, is_____.
What This Question Tests
This question requires manipulating a rational equation into a quadratic form and then using the condition for no real roots (discriminant less than zero) to find the possible integer values of k.
Concepts Tested
Formulas Used
For ax^2+bx+c=0, roots are not real if D = b^2-4ac < 0
📚 NCERT Sections This Tests
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
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
3.23 — The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 × 10–5S–1
Chemistry Class 11 · Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 × 10–5s–1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of quadratic equations
- Year
- 2021
- Shift
- 26 Aug Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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