1

JEE Main 2021 (Online) 18th March Evening Shift

Numerical

+4

-1

If f(x) and g(x) are two polynomials such that the polynomial P(x) = f(x

^{3}) + x g(x^{3}) is divisible by x^{2}+ x + 1, then P(1) is equal to ___________.Your input ____

2

JEE Main 2021 (Online) 24th February Evening Shift

Numerical

+4

-1

If a + $$\alpha$$ = 1, b + $$\beta$$ = 2 and $$af(x) + \alpha f\left( {{1 \over x}} \right) = bx + {\beta \over x},x \ne 0$$, then the value of the expression $${{f(x) + f\left( {{1 \over x}} \right)} \over {x + {1 \over x}}}$$ is __________.

Your input ____

3

JEE Main 2020 (Online) 6th September Evening Slot

Numerical

+4

-0

Suppose that a function f : R $$ \to $$ R satisfies

f(x + y) = f(x)f(y) for all x, y $$ \in $$ R and f(1) = 3.

If $$\sum\limits_{i = 1}^n {f(i)} = 363$$ then n is equal to ________ .

f(x + y) = f(x)f(y) for all x, y $$ \in $$ R and f(1) = 3.

If $$\sum\limits_{i = 1}^n {f(i)} = 363$$ then n is equal to ________ .

Your input ____

4

JEE Main 2020 (Online) 5th September Evening Slot

Numerical

+4

-0

Let A = {a, b, c} and B = {1, 2, 3, 4}. Then the
number of elements in the set

C = {f : A $$ \to $$ B | 2 $$ \in $$ f(A) and f is not one-one} is ______.

C = {f : A $$ \to $$ B | 2 $$ \in $$ f(A) and f is not one-one} is ______.

Your input ____

Questions Asked from Functions (Numerical)

Number in Brackets after Paper Indicates No. of Questions

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