1

IIT-JEE 1994

Fill in the Blanks

+2

-0

Suppose Z

_{1}, Z_{2}, Z_{3}are the vertices of an equilateral triangle inscribed in the circle $$\left| Z \right| = 2.$$**If**Z_{1}= $$1 + i\sqrt 3 $$ then Z**2**= ......., Z_{3}=..............2

IIT-JEE 1993

Fill in the Blanks

+2

-0

$$ABCD$$ is a rhombus. Its diagonals $$AC$$ and $$BD$$ intersect at the point $$M$$ and satisfy $$BD$$ = 2$$AC$$. If the points $$D$$ and $$M$$ represent the complex numbers $$1 + i$$ and $$2 - i$$ respectively, then A represents the comp[lex number ..........or..........

3

IIT-JEE 1989

Fill in the Blanks

+2

-0

If $$a,\,b,\,c,$$ are the numbers between 0 and 1 such that the ponts $${z_1} = a + i,{z_2} = 1 + bi$$ and $${z_3} = 0$$ form an equilateral triangle,

then a= .......and b=..........

then a= .......and b=..........

4

IIT-JEE 1988

Fill in the Blanks

+2

-0

For any two complex numbers $${z_1},{z_2}$$ and any real number a and b.

$$\,{\left| {a{z_1} - b{z_2}} \right|^2} + {\left| {b{z_1} + a{z_2}} \right|^2} = .........$$

Questions Asked from Complex Numbers (Fill in the Blanks)

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced Subjects

Physics

Mechanics

Units & Measurements Motion Laws of Motion Work Power & Energy Impulse & Momentum Rotational Motion Properties of Matter Heat and Thermodynamics Simple Harmonic Motion Waves Gravitation

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