Q81.Let ๐โโ and let the equation ๐ธ be |๐ฅ| 2 - 2 | ๐ฅ| + | ๐- 3 | = 0. Then the largest element in the set ๐= {๐ฅ+ ๐: ๐ฅ is an integer solution of ๐ธ} is ______
What This Question Tests
This question involves solving a quadratic equation where the variable is under a modulus function. It requires careful case analysis based on the sign of the modulus argument and finding integer solutions to determine the largest element in the set S.
Concepts Tested
Formulas Used
Solutions for quadratic equation ax^2+bx+c=0
Properties of |x|
๐ NCERT Sections This Tests
9.18 โ For Fixed Distance S Between Object And Screen, The Lens Equation
Physics Class 12 ยท Chapter 9
9.18 For fixed distance s between object and screen, the lens equation does not give a real solution for u or v if f is greater than s/4. Therefore, fmax = 0.75 m.
12.5 โ A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 ยท Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
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
- Roots of quadratic equations with modulus function
- Year
- 2023
- Shift
- 24 Jan Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations
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