JEE Main 2026 Question Paper (04-Apr-2026) (Shift 1)

Question 1

Let $[.]$ denote the greatest integer function. If the domain of the function $f(x)=\cos^{-1}\left(\frac{4x+2[x]}{3}\right)$ is $[\alpha, \beta]$, then $12 (\alpha + \beta)$ is equal to:

Accepted Answer

6

Answer

8

Answer

9

Answer

4

Question 2

If the set of all solutions of $|x^2 + x - 9| = |x| + |x^2 - 9|$ is $[\alpha, \beta] \cup [\gamma, \infty)$, then $(\alpha^2 + \beta^2 + \gamma^2)$ is equal to:

Accepted Answer

18

Answer

9

Answer

36

Answer

72

Question 3

Let z be a complex number such that $|z + 2| = |z - 2|$ and $\arg\left(\frac{z + 3}{z - i}\right) = \frac{\pi}{4}$. Then $|z|^2$ is equal to:

Accepted Answer

9

Answer

4

Answer

5

Answer

1

Question 4

The number of functions $f: \{1, 2, 3, 4\} \rightarrow \{a, b, c\}$, which are not onto, is:

Accepted Answer

45

Answer

48

Answer

51

Answer

35

Question 5

Let $	ext{S} = \left\{	ext{A} = \begin{bmatrix} a & b \ c & d \end{bmatrix} : a, b, c, d \in \{0, 1, 2, 3, 4\} 	ext{ and } 	ext{A}^2 - 4	ext{A} + 3	ext{I} = 0 ight\}$ be a set of $2 	imes 2$ matrices. Then the number of matrices in S, for which the sum of the diagonal elements is equal to 4, is:

Accepted Answer

19

Answer

20

Answer

17

Answer

21