12 - Maths- Unit 3. Complex Numbers
29 Questions
| Attempts: 2039
Prepard by, R VISVANATHAN, PG ASST IN MATHS, GHSS, PERIYATHACHUR, TINDIVANAM TK-605651 ; &nbs p; & www. Padasalai. Net
Questions and Answers
- 1.
The value of is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 2.
The modulus and amplitude of the complex number are respectively (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 3.
If is the complex conjugate of then are (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 4.
If then the value of is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 5.
The modulus of the complex number is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 6.
If then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 7.
If and then the points on the Argand diagram representing and are (1) Vertices of a right angled triangle (2) Vertices of an equilateral triangle (3) Vertices of an isosceles triangle (4) Collinear
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 8.
The points in the complex plane are the vertices of a parallelogram taken in order if and only if (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 9.
If represents a complex number then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 10.
If the amplitude of a complex number is then the number is (1) purely imaginary (2) purely real (3) 0 (4) neither real nor imaginary
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 11.
If the point represented by the complex number is rotated about the origin through the angle in the counter clockwise direction then the complex number representing the new position is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 12.
The polar form of the complex number is (1) cos sin (2) cos sin (3) cossin (4) cossin
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 13.
If represents the variable complex numbers and if then the locus of is (1) the straight line (2) the straight line (3) the straight line (4) the circle
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 14.
(1) cossin (2) cossin (3) sincos (4) sincos
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 15.
If then is (1) 1 (2) -1 (3) i (4) -i
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 16.
If lies in the third quadrant then lies in the (1) first quadrant (2) second quadrant (3) third quadrant (4) fourth quadrant
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 17.
If the value of is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 18.
If then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 19.
then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 20.
The value of is (1) i (2) -i (3) 1 (4) -1
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 21.
The conjugate of is (1) 1 (2) -1 (3) 0 (4) -i
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 22.
If is one root of the equation , then the other root is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 23.
The quadratic equation whose roots are is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 24.
The equation having and as root is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 25.
If is a root of the equation , wher are real then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
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