Q71.The least positive value of ‘ a ’ for which the equation, 2x2 + (a −10)x + 332 = 2a has real roots is ___________.
What This Question Tests
This numerical question requires setting the discriminant of the given quadratic equation to be non-negative to find the least positive value of the parameter 'a' for which real roots exist.
Concepts Tested
Formulas Used
ax² + bx + c = 0, D = b² - 4ac
For real roots, D ≥ 0
📚 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
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.
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Nature of roots
- Year
- 2020
- Shift
- 08 Jan Shift 1
- Q Number
- Q71
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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