Home
Class 12
MATHS
Represent the modulus of 8 + 6i in the A...

Represent the modulus of 8 + 6i in the Argand plane .

Text Solution

Verified by Experts

Modulus of ` 8 + 6i= |8+ 6i| = sqrt((8)^(2) + (6)^(2))`
` sqrt(64+36)`
`sqrt(100) = 10`
Which can be represented in the Argand plane as shown below.

Here OP=10 is the modulus of 8+6i .
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|60 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section -A) (objective Type Questions ( one option is correct)|47 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos

Similar Questions

Explore conceptually related problems

Represent the modulus of 3+4i in the Argand plane.

Represent the modulus of 1+i, in the Argand plane.

Find the modulus of 8-6i^(7) ?

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is

Plot the complex number - 6 + 7i on the Argand plane.

Let z_(1) and z_(2) be the roots of the equation z^(2)+pz+q=0 . Suppose z_(1) and z_(2) are represented by points A and B in the Argand plane such that angleAOB=alpha , where O is the origin. Statement-1: If OA=OB, then p^(2)=4q cos^(2)alpha/2 Statement-2: If affix of a point P in the Argand plane is z, then ze^(ia) is represented by a point Q such that anglePOQ =alpha and OP=OQ .

Let the locus of any point P(z) in the argand plane is arg((z-5i)/(z+5i))=(pi)/(4) . If O is the origin, then the value of (max.(OP)+min.(OP))/(2) is

Find the locus of a complex number, z=x +iy , satisfying the relation |(z-3i)/(z+3i)| le sqrt(2) . Illustrate the locus of z in the Argand plane.

The point represented by 2+i in the Argand plane moves 1 unit eastwards, then 2-units northwards and finally from there 2sqrt(2) units in the south-westwards direction. Then its new position in the Argand plane is at the point represented by

Plot the complex number -4 + 5i on the Argand plane.