New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Functions question

2023 · 25 Jan · Shift 2 · Q38

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Functions
2023 · 25 Jan · Shift 2 · Q38

Functions question

2023 · 25 Jan · Shift 2 · Q38

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

f(x) = 2{x^n} + \lambda ,\lambda \in R,n \in N

, and

f(4) = 133,f(5) = 255

. Then the sum of all the positive integer divisors of

(f(3) - f(2))

is

A
60
B
58
C
61
D
59

More from Functions

The domain of $f (x) = \frac{l o g _{(x + 1)} ( x - 2 )}{e ^{2 l o g_{e} x} - ( 2 x + 3 )}, x \in R$ is2023 · MCQ
Let $f : R \to R$ be a function such that $f (x) = \frac{x ^{2} + 2 x + 1}{x ^{2} + 1}$ . Then2023 · MCQ
Suppose $f$ is a function satisfying $f (x + y) = f (x) + f (y)$ for all $x, y \in N$ and $f (1) = \frac{1}{5}$ . If $n = 1 \sum m \frac{f ( n )}{n ( n + 1 ) ( n + 2 )} = \frac{1}{12}$ , then $m$ is equal to .2023 · Numerical
Consider a function $f : N \to R$ , satisfying $f (1) + 2 f (2) + 3 f (3) + .... + x f (x) = x (x + 1) f (x); x \geq 2$ with $f (1) = 1$ . Then $\frac{1}{f ( 2022 )} + \frac{1}{f ( 2028 )}$ is equal to2023 · MCQ
Let $S = {1, 2, 3, 4, 5, 6}$ . Then the number of one-one functions $f : S \to P (S)$ , where $P (S)$ denote the power set of $S$ , such that $f (n) \subset f (m)$ where $n \lt…2023 · Numerical
The range of the function $f (x) = 3 - x + 2 + x$ is :2023 · MCQ
Let $A = {1, 2, 3, 5, 8, 9}$ . Then the number of possible functions $f : A \to A$ such that $f (m \cdot n) = f (m) \cdot f (n)$ for every $m, n \in A$ with $m \cdot n \in A$ is equal to .2023 · Numerical
If the domain of the function $f (x) = \frac{[ x ]}{1 + x ^{2}}$ , where $[x]$ is greatest integer $\leq x$ , is $[2, 6)$ , then its range is2023 · MCQ