Q62.The number of integral values of ๐ for which the equation, 1 + ๐2๐ฅ2 - 21 + 3๐๐ฅ+ 1 + 8๐= 0 has no real root, is (1) 2 (2) 3 (3) Infinitely many (4) 1 ๐
What This Question Tests
This question tests the application of the condition for a quadratic equation to have no real roots (discriminant less than zero) and requires solving the resulting polynomial inequality for integral values of 'm'.
Concepts Tested
Formulas Used
Discriminant D = Bยฒ - 4AC < 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.
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.
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 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.
๐ Question Details
- Chapter
- Quadratic Equations
- Topic
- Discriminant and nature of roots
- Year
- 2019
- Shift
- 08 Apr Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations
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