Home
Class 11
MATHS
Show that the area of the triagle on the...

Show that the area of the triagle on the argand plane formed by the complex numbers Z, iz and `z+iz`is `(1)/(2)|z|^(2)," where "i=sqrt(-1).`

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE|289 Videos
  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|334 Videos
  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE|85 Videos

Similar Questions

Explore conceptually related problems

Show that the area of the triangle on the Argand diagram formed by the complex numbers z, zi and z+ zi is =(1)/(2) |z|^(2)

The equation z^(2)-i|z-1|^(2)=0, where i=sqrt(-1), has.

Find the difference of the complex numbers : z_1=- 3 + 2i and z_2= 13-i .

If the area of the triangle formed by the points z, z+iz and iz is 50 square units, then |z| is equal to :

If the points represented by complex numbers z_(1)=a+ib, z_(2)=c+id " and " z_(1)-z_(2) are collinear, where i=sqrt(-1) , then

Find the gratest and the least values of |z_(1)+z_(2)|, if z_(1)=24+7iand |z_(2)|=6," where "i=sqrt(-1)

Express in the form of complex number z= (5-3i)(2+i)

If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the complex number z lies

If |z|=2, the points representing the complex numbers -1+5z will lie on

The area of the triangle with vertices affixed at z, iz, z(1 +i) is: