IPMAT Indore 2022 (MCQ) PYQs

View all IPMAT/JIPMAT PYQs →

Collection of AfterBoards IPMAT JIPMAT Past Year Papers with Solutions

No login required. We have created handwritten solutions for all IPMAT Indore questions for free!

IPMAT Indore 2022

Algebra

>

Functions

Hard

If $f\left(x^{2}+f(y)\right)=x f(x)+y$ for all non-negative integers $x$ and $y$ , then the value of $[f(0)]^{2}+f(0)$ equals _________.

2

0

6

1

✅ Correct Option: 2

Related questions:

IPMAT Indore 2019

f(x) = \dfrac{x^3 - 5x^2 - 8x}{3}

IPMAT Indore 2019

A real-valued function

f

satisfies the relation

f(x)f(y) = f(2xy + 3) + 3f(x + y) - 3f(y) + 6y

, for all real numbers

x

y

, then the value of

f(8)

IPMAT Indore 2020

f(x) = x^2 + \log_3 x

g(y) = 2y + f(y)

, then the value of

g(3)