HARD
11th ICSE
IMPORTANT
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If the points A,B,C and D are represented by the complex numbers 4+i,1+6i,-4+3i and -1-2i respectively, then show that ABCD  is a square (use distance formula).

Important Questions on Complex Numbers

MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 5 - Complex Numbers>EXERCISE 5.2>Q 4
If z1,z2,z3,z4 are complex numbers, show that they are vertices of a parallelogram in the Argand diagram if and only if z1+z3=z2+z4.
EASY
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 5 - Complex Numbers>EXERCISE 5.3>Q 1
If z is a complex number, argument of z is defined only if z≠0.
EASY
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 5 - Complex Numbers>EXERCISE 5.3>Q 1
If z is a complex number, argument of z=0 if and only if z is a positive real number.
EASY
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 5 - Complex Numbers>EXERCISE 5.3>Q 1
If z is a complex number, argument of z=π if and only if z is a negative real number.
EASY
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 5 - Complex Numbers>EXERCISE 5.3>Q 1
If z is a complex number, argument of z=π2 if and only if z is purely imaginary and lies on the positive direction of y-axis.
EASY
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 5 - Complex Numbers>EXERCISE 5.3>Q 1
If z is a complex number, argument of z=-π2 if and only if z is purely imaginary and lies on the negative direction of y-axis.
EASY
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 5 - Complex Numbers>EXERCISE 5.3>Q 2
Convert the complex number cos2π3+isin2π3, into standard form x+iy.
EASY
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 5 - Complex Numbers>EXERCISE 5.3>Q 2
Convert the complex number 2cos-π4+isin-π4, into standard form x+iy.