Q51.Let S , be the set of all real roots of the equation, 3x(3x −1) + 2 = |3x −1| + |3x −2|, then (1) contains exactly two elements. (2) is a singleton. (3) is an empty set. (4) contains at least four elements.
What This Question Tests
This question tests the ability to solve an equation involving modulus by splitting it into cases based on the sign of the expressions inside the modulus, and then solving the resulting quadratic/exponential equations.
Concepts Tested
Formulas Used
|x| definition
📚 NCERT Sections This Tests
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.
2.1 — Arrange The Following Metals In The Order In Which They Displace Each Other
Chemistry Class 11 · Chapter 2
2.1 Arrange the following metals in the order in which they displace each other from the solution of their salts. Al, Cu, Fe, Mg and Zn.
5.11 — Draw All The Isomers (Geometrical And Optical) Of:
Chemistry Class 11 · Chapter 5
5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Equations with Modulus
- Year
- 2020
- Shift
- 08 Jan Shift 2
- Q Number
- Q51
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 2: Relations and Functions, Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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