Home
Class 12
MATHS
Show that inverse of a point a with re...

Show that inverse of a point a with
respect to the circle `|z-c|=R(aandc` are complex
numbers and center respectively and R is the radius) is the point `c+(R^(2))/(bara-barc)` ,

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise EXAMPLE|10 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise EXAMPLE(Single integer answer type questions)|1 Videos
  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

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

Similar Questions

Explore conceptually related problems

The rate of change of area of circle with respect to its radius r at r =3 cm is :

The rate of change of the area of a circle with respect to its radius r at r = 6 cm is:

Find the rate of change of area of a circle with respect to its radius 'r' when r=7cm.

Find the rate of change of the area of a circle with respect to its radius r when r=5c mdot

If P,P^(') represent the complex number z_(1) and its additive inverse respectively, then the equation of the circle with PP^(') as a diameter is

Find the rate of change of area of the circle with respect to its radius 'r' when r=3.5 cm.

Let A,B,C are 3 points on the complex plane represented by complex number a,b,c respectively such that |a|= |b|= |c|=1,a+b+c = abc=1 , then

If a, b, c be the pth, qth and rth terms respectively of a HP, show that the points (bc, p), (ca, q) and (ab, r) are collinear.

Let C and R denote the set of all complex numbers and all real numbers respectively. Then show that f: C->R given by f(z)=|z| for all z in C is neither one-one nor onto.

Find the rate of change of the area of a circle with respect to its radius r when(a) r = 3 c m (b) r = 4 c m