Q81.If for the complex numbers ๐ง satisfying |๐ง- 2 - 2๐| โค1, the maximum value of |3๐๐ง+ 6| is attained at ๐+ ๐๐, then ๐+ ๐ is equal to _____ .
What This Question Tests
This question tests the geometric interpretation of complex numbers to find the maximum distance from a point on a disk to another fixed point, then extracting the coordinates of that point.
Concepts Tested
Formulas Used
|z - z0| <= r represents a disk
|z1 - z2| represents distance between z1 and z2
๐ NCERT Sections This Tests
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
5.11 โ Draw All The Isomers (Geometrical And Optical) Of:
Chemistry Class 11 ยท Chapter 5
5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
2.3 โ Two Charges 2 Mc And โ2 Mc Are Placed At Points A And B 6 Cm
Physics Class 11 ยท Chapter 2
2.3 Two charges 2 mC and โ2 mC are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system. (b) What is the direction of the electric field at every point on this surface?
๐ Question Details
- Chapter
- Complex Numbers
- Topic
- Geometric interpretation of complex numbers
- Year
- 2021
- Shift
- 01 Sep Shift 2
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
More from this Chapter
Q84.If |z + 4| โค3 , then the maximum value of |z + 1| is (1) 4 (2) 10 (3) 6 (4) 0
Q73.The conjugate of a complex number is 1 . Then the complex number is iโ1 (1) โ1 (2) 1 iโ1 i+1 (3) โ1 (4) 1 i+1 iโ1
Q62.If z โ4z = 2, then the maximum value of |z| is equal to (1) โ3 + 1 (2) โ5 + 1 (3) 2 (4) 2 + โ2
Q61.If ฮฑ and ฮฒ are the roots of the equation x2 โx + 1 = 0, then ฮฑ2009 + ฮฒ2009 = (1) โ1 (2) 1 (3) 2 (4) โ2