If `z=t+3+iotasqrt(5-t^2)` , `t^2 lt 5` then `|(z+2)/(z-2)|^2=..`
`1) 1.4`
`2) 2.6`
`3) 3.8`
`4) 4.5`

If z=2 + t + i sqrt(3-t^2) , where t is real and t^2 lt 3 , show that the modulus of (z+1)/(z-1) is independent of t. Also show that the locus of the points z for different values of t is a circle and finds its centre and radius.

If z=2-i sqrt(3) then z^(4)-4z^(2)+8z+35 is (A) 6(B)0(C)1 (D) 2

If z_1 z_2 = 5 & z_1^3 z_2^3 = 20 15 i then |z_1^4 z_2^4| is equal to

Statement 1: A point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance 3sqrt(2) from the point (1,2,3) lies on the lne (x+7)/5=(y+t)/4=(z-2)/1 Statement 2: If d is the distance between the point (-1,-5,-10) and the point of intersectionof the line (x-2)/3=(y+1)/4=(z-2)/12 with the plane x-y+z=5 then d=13

If 3x-4y+z=7; 2x-z+3y=19 ; x+2y+2z=24 , then what is the value of z ? (a) 4 (b) 5 (c) 6 (d) 8