JEE Main 2026 April 2 Shift 2 Question Paper with Solutions PDF

JEE Main Questions

• 1.

  Identify the correct truth table of the given logic circuit. 
  

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• 2.

  Let $z$ be the complex number satisfying $|z - 5| \le 3$ and having maximum positive principal argument. Then $34 \left| \frac{5z - 12}{5iz + 16} \right|^2$ is equal to :

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• 3.

  If the coefficient of \( x \) in the expansion of \[ (ax^2 + bx + c)(1 - 2x)^{26} \] is \(-56\) and the coefficients of \( x^2 \) and \( x^3 \) are both zero, then \( a + b + c \) is equal to

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• 4.

  The correct order of stability for the following carbanions is: \[ \text{CH}_2=\text{CH}^- ,\quad \text{CH}_3-\text{CH}_2^- ,\quad \text{CH}\equiv\text{C}^- \]

  • \(\text{CH}=\text{C}^->\text{CH}_2=\text{CH}^->\text{CH}_3-\text{CH}_2^-\)
  • \(\text{CH}_3-\text{CH}_2^->\text{CH}_2=\text{CH}^->\text{CH}\equiv\text{C}^-\)
  • \(\text{CH}_2=\text{CH}^->\text{CH}\equiv\text{C}^->\text{CH}_3-\text{CH}_2^-\)
  • \(\text{CH}\equiv\text{C}^->\text{CH}_3-\text{CH}_2^->\text{CH}_2=\text{CH}^-\)
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• 5.

  Let \( S = \{z : 3 \le |2z - 3(1+i)| \le 7\ \) be a set of complex numbers. Then \( \min_{z \in S} \left| z + \frac{1}{2}(5+3i) \right| \) is equal to :}

  • 2
  • \( \frac{3}{2} \)
  • \( \frac{1}{2} \)
  • \( \frac{5}{2} \)
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• 6.

  Let $a_1,a_2,a_3,a_4$ be an A.P. of four terms such that each term of the A.P. and its common difference are integers. If $a_1+a_2+a_3+a_4=48$ and $a_1^2a_2a_3a_4+1^4=361$, then the largest term of the A.P. is equal to
  

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