Q78.Let f : R −{0, 1} →R be a function such that f(x) + f( 1−x1 ) = 1 + x. Then f(2) is equal to : (1) 9 (2) 9 2 4 (3) 7 (4) 7 4 3
What This Question Tests
This problem requires solving a functional equation by making appropriate substitutions to form a system of equations, and then solving for the value of the function at a specific point.
Concepts Tested
Formulas Used
None
📚 NCERT Sections This Tests
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
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.
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · 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.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Functional Equations
- Year
- 2023
- Shift
- 01 Feb Shift 2
- Q Number
- Q78
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 2: Relations and Functions
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