Q61.Let S = {x ∈R : x ≥0 & 2 √x −3 + √x (√x −6) + 6 = 0} . Then S : (1) Contains exactly four elements (2) Is an empty set (3) Contains exactly one element (4) Contains exactly two elements
What This Question Tests
This question tests the ability to solve an equation involving square roots by using substitution, and critically, to verify solutions against the domain constraints to identify and discard any extraneous roots.
Concepts Tested
Formulas Used
(a-b)^2
Quadratic formula
📚 NCERT Sections This Tests
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
9.18 — For Fixed Distance S Between Object And Screen, The Lens Equation
Physics Class 12 · 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.
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
- Solving radical equations
- Year
- 2018
- Shift
- 08 Apr
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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