Home
Class 12
MATHS
Equation of tangent drawn to circle abs(...

Equation of tangent drawn to circle `abs(z)=r` at the point `A(z_(0))`, is

A

Re `((z)/(z_0))=1`

B

Re `((z_0)/(z))=1`

C

lm `((z)/(z_0))=1`

D

`lm((z_0)/(z))=1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of tangents to circle x^(2)+y^(2)-2x+4y-4=0 drawn from point P(2,3).

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

Find the equations of the tangents to the circle x^(2) + y^(2)=16 drawn from the point (1,4).

Tangents are drawn to the circle x^(2)+y^(2)=16 at the points where it intersects the circle x^(2)+y^(2)-6x-8y-8=0 , then the point of intersection of these tangents is

The maximum number of tangents that can be drawn to a circle from a point outside it is…………..

If from a point P representing the complex number z_1 on the curve |z|=2 , two tangents are drawn from P to the curve |z|=1 , meeting at points Q(z_2) and R(z_3) , then :

Two different non-parallel lines meet the circle abs(z)=r . One of them at points a and b and the other which is tangent to the circle at c. Show that the point of intersection of two lines is (2c^(-1)-a^(-1)-b^(-1))/(c^(-2)-a^(-1)b^(-1)) .

Tangents are drawn to the circle x^2+y^2=9 at the points where it is met by the circle x^2+y^2+3x+4y+2=0 . Find the point of intersection of these tangents.

Tangents are drawn to the circle x^2+y^2=12 at the points where it is met by the circle x^2+y^2-5x+3y-2=0 . Find the point of intersection of these tangents.

Find the equation to the chord of contact of the tangents drawn from an external point (-3, 2) to the circle x^2 + y^2 + 2x-3=0 .