Q61.Let ๐ be the set of positive integral values of ๐ for which ๐๐ฅ2 + 2๐+ 1๐ฅ+ 9๐+ 4 < 0, โ๐ฅโโ. Then, the number ๐ฅ2 - 8๐ฅ+ 32 of elements in ๐ is: (1) 1 (2) 0 (3) โ (4) 3
What This Question Tests
This question requires applying conditions for a quadratic expression to be always negative and analyzing the domain of another quadratic in the denominator, integrating concepts of inequalities and domain restriction.
Concepts Tested
Formulas Used
ax^2 + bx + c < 0 implies a < 0 and D < 0
๐ NCERT Sections This Tests
9.15 โ Apply Mirror Equation And The Condition:
Physics Class 12 ยท 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 โ Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 ยท Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
1.27 โ If The Solubility Product Of Cus Is 6 ร 10โ16, Calculate The Maximum Molarity Of
Chemistry Class 11 ยท Chapter 1
1.27 If the solubility product of CuS is 6 ร 10โ16, calculate the maximum molarity of CuS in aqueous solution.
๐ Question Details
- Chapter
- Quadratic Equations
- Topic
- Conditions for a quadratic expression to be always negative
- Year
- 2024
- Shift
- 31 Jan Shift 1
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations
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