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Miscellaneous

Misc 1
Deleted for CBSE Board 2023 Exams

Misc 2 Deleted for CBSE Board 2023 Exams

Misc 3 Important Deleted for CBSE Board 2023 Exams You are here

Misc. 4 Important

Misc 5

Misc 6 Deleted for CBSE Board 2023 Exams

Misc 7 Deleted for CBSE Board 2023 Exams

Misc. 8 Important

Misc 9 Important Deleted for CBSE Board 2023 Exams

Misc 10 Important

Misc 11 (i) Important Deleted for CBSE Board 2023 Exams

Misc 11 (ii)

Misc 12 Deleted for CBSE Board 2023 Exams

Misc 13 Important Deleted for CBSE Board 2023 Exams

Misc 14 Important Deleted for CBSE Board 2023 Exams

Misc 15

Misc 16 (MCQ) Important

Misc 17 (MCQ) Important

Misc 18

Misc 19 (MCQ) Important Deleted for CBSE Board 2023 Exams

Chapter 1 Class 12 Relation and Functions

Serial order wise

Last updated at Jan. 28, 2020 by Teachoo

Misc 3 If f: R → R is defined by f(x) = x2 − 3x + 2, find f(f(x)). f(x) = x2 − 3x + 2. f(f(x)) = f(x)2 − 3f(x) + 2. = (x2 – 3x + 2)2 – 3(x2 – 3x + 2) + 2 = (x2)2 + (3x)2 + 22 – 2x2 (3x) + 2x2(2) – 2x2(3x) – 3(x2 – 3x + 2) + 2 = x4 + 9x2 + 4 – 6x3 – 12x + 4x2 – 3x2 + 9x – 6 + 2 = x4 – 6x3 + 9x2 + 4x2 – 3x2 – 12x + 9x – 6 + 2 + 4 = x4 – 6x3 + 10x2 – 3x Using (a – b + c)2 = a2 + b2 + c2 – 2ab + 2ac – 2ab