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Complex Numbers and Quadratic Equations

JEE Main 2025 (Online) 22nd January Evening ShiftMCQMedium📈 Topic in 26% papers+4−1
Ques. 1JEE Main 2025, 22 January (Evening Shift)

Let and be the distinct roots of 2x2+( )x-1=0, (0,2 ). If m and M are the minimum and the maximum values of 4+ 4, then 16(M+m) equals :

  1. 27
  2. 17
  3. 25
  4. 24

Answer

(3) 25

Solution

+ =- 2, =- 12

4+ 4=( 2+ 2)2-2( )2= (1+ 2 4 )2- 12

2 [0,1] m= 12 (at 0), M= 1716 (at 1)

16(M+m)=17+8=25

Answer: (3)

Keep practising — Complex Numbers and Quadratic Equations

Ques. 2JEE Main 2025, 22 January (Evening Shift)

Let the curve z(1+i)+ z(1-i)=4, z , divide the region |z-3| 1 into two parts of areas and . Then | - | equals :

  1. 1+ 3
  2. 1+ 6
  3. 1+ 2
  4. 1+ 4

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