If `|z^2-3|=3|z|` , then the maximum value of `|z|` is a.`1` b. `(3+sqrt(21))/2` c. `(sqrt(21)-3)/2` d. none of these

If | z - (3)/(z) | = 2, then the least value of |z| is

Find the minimum value of |z-1 if ||z-3|-|z+1||=2.

The point z_1=3+sqrt(3)i and z_2=2sqrt(3)+6i are given on la complex plane. The complex number lying on the bisector of the angel formed by the vectors z_1a n dz_2 is a. z=((3+2sqrt(3)))/2+(sqrt(3)+2)/2i b. z=5+5i c. z=-1-i d.none of these

If the vertices of a triangle are (sqrt(5,)0) , ( sqrt(3),sqrt(2)) , and (2,1) , then the orthocentre of the triangle is (sqrt(5),0) (b) (0,0) (c) (sqrt(5)+sqrt(3)+2,sqrt(2)+1) (d) none of these

Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-2)/1=(y-3)/1=(z-4)/1 is equal to a. sqrt(14) b. sqrt(7) c. sqrt(2) d. none of these

The line (x-2)/3=(y+1)/2=(z-1)/-1 intersects the curve x y=c^(2),z=0 if c is equal to a. +-1 b. +-1//3 c. +-sqrt(5) d. none of these

If |z_1-1|lt=1,|z_2-2|lt=2,|z_(3)-3|lt=3, then find the greatest value of |z_1+z_2+z_3|dot

If |z = (2)/(z)| = 2. show that the greatest and least value of |z| are sqrt(3)+1 and sqrt(3) - 1 respectively.

The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is a. 1 b. no least value c. 0 d. none of these