Class 12 Maths ISC Relation and Functions Board Questions
Here we provide Class 12 Maths important notes,board questions and predicted questions with Answers for chapter Relation and Functions. These important notes,board questions and predicted questions are based on ISC board curriculum and correspond to the most recent Class 12 Maths syllabus. By practising these Class 12 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 12 Board examinations.
2018
Q1
If the function f(x) = √(2x - 3) is invertible then find its inverse. Hence, prove that
(fof-1)(x) = x
solutions
solutions
Q2
The binary operation * : R x R → R is defined as a*b = 2a + b. Find (2*3)*4
solutions
solutions
2019
Q3
If f: A → A and A = R - {8/5}, show that the function f(x) =
solutions
8x + 3
/
5x - 8
is one-one onto.
solutions
Q4
Prove that the function f(x) = x3 - 6x2 + 12x + 5 is increasing on R.
solutions
solutions
Q5
If f: R → R , f(x) = x3 and g : R → R, g(x) = 2x2 + 1, and R is the
set of real numbers, then find fog(x) and gof(x).
solutions
solutions
2020
Q6
If the function f : R → R be defined as f(x) =
g : R → R be defined as g(x) =
show that (gof)(x) = (fog)(x)
solutions
3x + 4
/
5x - 7
, (x ≠ 7/5) andg : R → R be defined as g(x) =
7x + 4
/
5x - 3
, (x ≠ 3/5)show that (gof)(x) = (fog)(x)
solutions
Q7
Determine whether the binary operation * on R defined by a*b = |a-b| is commutative. Also, find the
value of (-3)*2
solutions
solutions
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