Let the complex numbers z of the form `x+iy` satisfy arg` ((3z-6-3i)/(2z-8-6i))=pi/4 and |z-3+i|=3`. Then the ordered pairs `(x,y)` are (A) `(4- 4/sqrt(5), 1+2/sqrt(5))` (B) `(4+5/sqrt(5),1-2/sqrt(5))` (C) `(6-1)` (D) `(0,1)`

If arg ((z-6-3i)/(z-3-6i))=pi/4 , then maximum value of |z| :

Find the locus of the complex number z=x+iy , satisfying relations arg(z-1)=(pi)/(4) and |z-2-3i|=2 .

If |z-4/2z|=2 then the least of |z| is (A) sqrt(5)-1 (B) sqrt(5)-2 (C) sqrt(5) (D) 2

Find the complex number z satisfying the equation |(z-12)/(z-8i)|= (5)/(3), |(z-4)/(z-8)|=1

The eccentricity of the ellipse 4x^2+9y^2=36 is a. 1/(2sqrt(3)) b. 1/(sqrt(3)) c. (sqrt(5))/3 d. (sqrt(5))/6

The eccentricity of the ellipse 4x^2+9y^2=36 is a. 1/(2sqrt(3)) b. 1/(sqrt(3)) c. (sqrt(5))/3 d. (sqrt(5))/6

If |z-4/z|=2 , then the maximum value of |Z| is equal to (1) sqrt(3)+""1 (2) sqrt(5)+""1 (3) 2 (4) 2""+sqrt(2)

The mirror image of the curve arg((z-3)/(z-i))=pi/6, i=sqrt(- 1) in the real axis

The distance between the parallel lnes y=2x+4 and 6x-3y-5 is (A) 1 (B) 17/sqrt(3) (C) 7sqrt(5)/15 (D) 3sqrt(5)/15

If z_1=10+6i and z_2=4+2i be two complex numbers and z be a complex number such that a r g((z-z_1)/(z-z_2))=pi/4 , then locus of z is an arc of a circle whose (a) centre is 5+7i (b) centre is 7+5i (c) radius is sqrt(26) (d) radius is sqrt(13)