For all complex numbers $${z_1},\,{z_2}$$ satisfying $$\left| {{z_1}} \right| = 12$$ and $$\left| {{z_2} - 3 - 4i} \right| = 5,$$
the minimum value of $$\left| {{z_1} - {z_2}} \right|$$ is
A
0
B
2
C
7
D
17
2
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
Let $${z_1}$$ and $${z_2}$$ be $${n^{th}}$$ roots of unity which subtend a right angle at the origin. Then $$n$$ must be of the form
A
$$4k + 1$$
B
$$4k + 2$$
C
$$4k + 3$$
D
$$4k$$
3
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
The complex numbers $${z_1},\,{z_2}$$ and $${z_3}$$ satisfying $${{{z_1} - {z_3}} \over {{z_2} - {z_3}}} = {{1 - i\sqrt 3 } \over 2}\,$$ are the vertices of a triangle which is
A
of area zero
B
right-angled isosceles
C
equilateral
D
obtuse-angled isosceles
4
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
If $$\arg \left( z \right) < 0,$$ then $$\arg \left( { - z} \right) - \arg \left( z \right) = $$
A
$$\pi $$
B
$$ - \pi $$
C
$$ - {\pi \over 2}$$
D
$${\pi \over 2}$$
Questions Asked from Complex Numbers
On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
