Ques. 1JEE Main 2025, 4 April (Morning Shift)
Let A = \z C : |z - 2 - i| = 3\, B = \z C : Re(z - iz) = 2\ and S = A B. Then z S |z|2 is equal to .
Previous year questions with solutions · 2024 – 2026
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 36 | 19 | 1.9 | 7.58% ▲ 2.9% vs last year |
| 2025 | 35 | 19 | 1.8 | 7.37% ▲ 0.5% vs last year |
| 2024 | 44 | 20 | 2.2 | 7.33% |
Let A = \z C : |z - 2 - i| = 3\, B = \z C : Re(z - iz) = 2\ and S = A B. Then z S |z|2 is equal to .
The sum of the square of the modulus of the elements in the set \z = a + ib : a, b Z, z C, |z - 1| 1, |z - 5| |z - 5i|\ is .
Let P=\z C: |z+2-3i| 1\ and Q=\z C: z(1+i)+ z(1-i) -8\. Let in P , |z-3+2i| be maximum and minimum at z1 and z2 respectively. If |z1|2+2|z2|2= + 2, where , are integers, then + equals .