Home
Class 12
MATHS
If |z|=2, the points representing the co...

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

A

a circle

B

a straight line

C

a parabola

D

an ellipse

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 3|15 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

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

The points representing the complex numbers z for which |z+3|^2 -|z-3|^2=0 lies on :

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

Represent the complex number z=1+sqrt3i in the polar form.

The points A,B,C represent the complex numbers z_1,z_2,z_3 respectively on a complex plane & the angle B & C of the triangle ABC are each equal to 1/2 (pi-alpha) . If (z_2-z_3)^2=lambda(z_3-z_1)(z_1-z_2) sin^2( alpha/2) then determine lambda .

Express in a complex number if z= (2-i)(5+i)

A,B and C are the points respectively the complex numbers z_(1),z_(2) and z_(3) respectivley, on the complex plane and the circumcentre of /_\ABC lies at the origin. If the altitude of the triangle through the vertex. A meets the circumcircle again at P, prove that P represents the complex number (-(z_(2)z_(3))/(z_(1))) .

If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the point representing z in the complex plane is :

The points A,B and C represent the complex numbers z_(1),z_(2),(1-i)z_(1)+iz_(2) respectively, on the complex plane (where, i=sqrt(-1) ). The /_\ABC , is a. isosceles but not right angled b. right angled but not isosceles c. isosceles and right angled d. None of the above

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