Class 12 | Maths | Complex Numbers | Express the complex numbers modulus-amplitude form - √3 + i

Class 12 | Maths | Complex Numbers | Express the complex numbers modulus-amplitude form  - √3 + i
by

1 Answer

Answer :

Solution : image

by

Related questions

Class 12 | Maths | Complex Numbers | Simplify the following complex numbers and find their modulus.

Description : Class 12 | Maths | Complex Numbers | Simplify the following complex numbers and find their modulus.

Last Answer : Class 12 | Maths | Complex Numbers | Simplify the following complex numbers and find their modulus.

Class 12 | Maths | Complex Numbers | Simplify -2i ( 3 + i )( 2 + 4i )( 1 + i ) and obtain the modulus of that complex number.

Description : Class 12 | Maths | Complex Numbers | Simplify -2i ( 3 + i )( 2 + 4i )( 1 + i ) and obtain the modulus of that complex number.

Last Answer : Solution :

Maths | Complex Numbers | If √3 + i = r (cosθ + i sinθ), then find the value of θ in radian measure.

Description : Maths | Complex Numbers | If √3 + i =  r (cosθ + i sinθ), then find the value of θ in radian measure.

Last Answer : Solution :

Express each of the following as a ratio: (i) 43% (ii) 36% (iii) 7.5% (iv) 125% -Maths

Description : Express each of the following as a ratio: (i) 43% (ii) 36% (iii) 7.5% (iv) 125% -Maths

Last Answer : answer:

C program to find the greatest of four numbers.

Description : C program to find the greatest of four numbers.

Last Answer : #include int main() {     int num1, num2, num3, num4;     int greatest;     printf("Enter four numbers: ");     scanf("%d %d %d %d", &num1, &num2, &num3, &num4);     if(num1 > num2 && ...         greatest = num4;     printf("Greatest of four numbers is %d", greatest);     return 0; }

If 12.5% of x is 6, find the value of x. -Maths

Description : If 12.5% of x is 6, find the value of x. -Maths

Last Answer : answer:

Find: (i) 25% of Rs 76 (ii) 20% of Rs 132 (iii) 7.5% of 600 m (iv) 313% of 90 km (v) 8.5% of 5 kg (vi) 20% of 12 litres -Maths

Description : Find: (i) 25% of Rs 76 (ii) 20% of Rs 132 (iii) 7.5% of 600 m (iv) 313% of 90 km (v) 8.5% of 5 kg (vi) 20% of 12 litres -Maths

Last Answer : answer:

What is filament of spirogyra?

Description : What is filament of spirogyra?

Last Answer : Spirogyra is a genus of green algae that is commonly found in freshwater environments such as ponds, streams, and ditches. The filament of Spirogyra is a long, slender, multicellular structure ... , which occurs when the filament breaks into individual cells that can grow into new filaments.

In which direction the induced current will flow in an AND WHY?

Description : In which direction the induced current will flow in an AND WHY?

Last Answer : The direction of an induced current in a conductor is determined by the direction of the changing magnetic field that is inducing the current, as well as the direction of the movement of the ... induction that is based on the interaction between a magnetic field and the movement of a conductor.

Speech the importance of newspaper.

Description : Speech the importance of newspaper.

Last Answer : Newspapers play an important role in our daily lives, providing us with the information we need to stay informed about the world around us. They are an essential source of news, analysis, and ... to be an important source of news, analysis and commentary, and their importance cannot be overstated.

Who was Walter Lipmann?

Description : Who was Walter Lipmann?

Last Answer : Walter Lippmann (1889-1974) was an American journalist, political commentator, and public intellectual. He was a leading figure in the field of political commentary and analysis in the United States ... he is considered to be one of the most important political commentators of the 20th century.

___is rupture of red cells with release of intracellular haemoglobin can occur if the Antibody has the property of hemolysin. a) Agglutination b) Hemolysis c) Reaction

Description : ___is rupture of red cells with release of intracellular haemoglobin can occur if the Antibody has the property of hemolysin. a) Agglutination b) Hemolysis c) Reaction

Last Answer : b) Hemolysis is the rupture of red blood cells with the release of intracellular hemoglobin, and it can occur if the antibody has the property of hemolysin. Hemolysis is the destruction or ... bacteria, and viruses, and it is a key principle in many diagnostic tests for infectious diseases.

___is defined as clumping of particles that have antigen on their surface and is brought about by anti-bodies. a) Agglutination b) Hemolysis c) Reaction

Description : ___is defined as clumping of particles that have antigen on their surface and is brought about by anti-bodies. a) Agglutination b) Hemolysis c) Reaction

Last Answer : a) Agglutination is defined as clumping of particles that have antigen on their surface and is brought about by antibodies. Agglutination is a phenomenon that occurs when there are particles with antigens on ... reactions. In this context, it's not specific enough to be an answer to the question.

Convert each of the following into decimal form: (i) 45% (ii) 127% (iii) 3.6% (iv) 0.23% -Maths

Description : Convert each of the following into decimal form: (i) 45% (ii) 127% (iii) 3.6% (iv) 0.23% -Maths

Last Answer : answer:

Fill in the blanks: (a) 1 lakh = ………….. ten thousand. (b) 1 million = …………… hundred thousand. (c) 1 crore = ………………. ten lakh. (d) 1 crore = ……………. million. (e) 1 million = ……………. lakh. -Maths

Description : Fill in the blanks: (a) 1 lakh = ………….. ten thousand. (b) 1 million = …………… hundred thousand. (c) 1 crore = ………………. ten lakh. (d) 1 crore = ……………. million. (e) 1 million = ……………. lakh. -Maths

Last Answer : a) 10 (b) 10 (c) 10 (d) 10 (e) 10

A number is increased by 10% and the increased num\ber is decreased by 10%. Show that the net decrease is 1 -Maths

Description : A number is increased by 10% and the increased num\ber is decreased by 10%. Show that the net decrease is 1 -Maths

Last Answer : answer:

The population of a town increases at 5% per annum. Its present population is 16000. What will be its population after 2 years? -Maths

Description : The population of a town increases at 5% per annum. Its present population is 16000. What will be its population after 2 years? -Maths

Last Answer : answer:

The value of a machine depriciates at the rate of 10% per annum. If its present value is Rs 10000, what will be its value after 2 years? -Maths

Description : The value of a machine depriciates at the rate of 10% per annum. If its present value is Rs 10000, what will be its value after 2 years? -Maths

Last Answer : answer:

(i) What per cent of 1 kg is 125 g? (ii) What per cent of 80 m is 24 m? -Maths

Description : (i) What per cent of 1 kg is 125 g? (ii) What per cent of 80 m is 24 m? -Maths

Last Answer : answer:

An ore contains 12% copper. How many kilograms of the ore are required to get 69 kg of copper? -Maths

Description : An ore contains 12% copper. How many kilograms of the ore are required to get 69 kg of copper? -Maths

Last Answer : 579 kg is the answer

70% of the students in a school are boys and the number of girls is 504. Find the number of boys in the school. -Maths

Description : 70% of the students in a school are boys and the number of girls is 504. Find the number of boys in the school. -Maths

Last Answer : answer:

96% of the cost of a TV is Rs 10464. What is its total cost? -Maths

Description : 96% of the cost of a TV is Rs 10464. What is its total cost? -Maths

Last Answer : answer:

The excise duty on a certain item has been reduced to Rs 760 from Rs 950. Find the reduction per cent in the excise duy on that item. -Maths

Description : The excise duty on a certain item has been reduced to Rs 760 from Rs 950. Find the reduction per cent in the excise duy on that item. -Maths

Last Answer : answer:

The monthly salary of a typist is Rs 15625. If he gets an increase of 12%, find his new salary. -Maths

Description : The monthly salary of a typist is Rs 15625. If he gets an increase of 12%, find his new salary. -Maths

Last Answer : answer:

Rupesh secures 495 marks out of 750 in his annual examination. Find the percentage of marks obtained by him. -Maths

Description : Rupesh secures 495 marks out of 750 in his annual examination. Find the percentage of marks obtained by him. -Maths

Last Answer : answer:

What percentage is (i) Rs 15 of Rs 120? (ii) 36 minutes of 2 hours? (iii) 8 hours of 2 days (iv) 160 metres of 4 km? (v) 175 mL of 1 litre? (vi) 25 paise of Rs 4? -Maths

Description : What percentage is (i) Rs 15 of Rs 120? (ii) 36 minutes of 2 hours? (iii) 8 hours of 2 days (iv) 160 metres of 4 km? (v) 175 mL of 1 litre? (vi) 25 paise of Rs 4? -Maths

Last Answer : answer:

What per cent of 84 is 14? -Maths

Description : What per cent of 84 is 14? -Maths

Last Answer : answer:

What amount is 10% more than Rs 90? -Maths

Description : What amount is 10% more than Rs 90? -Maths

Last Answer : answer:

Find the number whose 614% is 2. -Maths

Description : Find the number whose 614% is 2. -Maths

Last Answer : answer:

Find the number whose 13% is 65. -Maths

Description : Find the number whose 13% is 65. -Maths

Last Answer : answer:

Find: (i) 32% of 425 (ii) 1623% of 16 (iii) 6.5% of 400 (iv) 136% of 70 (v) 2.8% of 35 (vi) 0.6% of 45 -Maths

Description : Find: (i) 32% of 425 (ii) 1623% of 16 (iii) 6.5% of 400 (iv) 136% of 70 (v) 2.8% of 35 (vi) 0.6% of 45 -Maths

Last Answer : answer:

Convert each of the following decimals into a percentage: (i) 0.6 (ii) 0.42 (iii) 0.07 (iv) 0.005 -Maths

Description : Convert each of the following decimals into a percentage: (i) 0.6 (ii) 0.42 (iii) 0.07 (iv) 0.005 -Maths

Last Answer : answer:

Convert each of the following ratios into a percentage: (i) 37 : 100 (ii) 16 : 25 (iii) 3 : 5 (iv) 5 : 4 -Maths

Description : Convert each of the following ratios into a percentage: (i) 37 : 100 (ii) 16 : 25 (iii) 3 : 5 (iv) 5 : 4 -Maths

Last Answer : answer:

Convert each of the following fraction into a percentage: (i) 47 100 (ii) 9 20 (iii) 3 8 (iv) 8 125 (v) 19 500 (vi) 4 15 (vii) 2 3 (viii) 1 3 5 -Maths

Description : Convert each of the following fraction into a percentage: (i) 47 100 (ii) 9 20 (iii) 3 8 (iv) 8 125 (v) 19 500 (vi) 4 15 (vii) 2 3 (viii) 1 3 5 -Maths

Last Answer : We have the following: (i) 47100=47100×100% = 47% (ii) 920=920×100% =9×5%= 45% (iii) 38=38×100% =3×252%=752%=3712% (iv) 8125=8125×100%=8×45%=325%=6.4% (v) ... ;203%=803%=2623% (vii) 23=23×100%=2003%=6623% (viii) 135=85=85×100%=(8×20)%=160%

Convert each of the following into a fraction: (i) 32% (ii) 614% (iii) 2623% (iv) 120% (v) 6.25% (vi) 0.8% (vii) 0.06% (viii) 22.75% -Maths

Description : Convert each of the following into a fraction: (i) 32% (ii) 614% (iii) 2623% (iv) 120% (v) 6.25% (vi) 0.8% (vii) 0.06% (viii) 22.75% -Maths

Last Answer : answer:

Write each of the following as decimals: (a) 5 / 10 (b) 3 + 7 / 10 (c) 200 + 60 + 5 + 1 / 10 (d) 70 + 8 / 10 (e) 88 / 10 -Maths

Description : Write each of the following as decimals: (a) 5 / 10 (b) 3 + 7 / 10 (c) 200 + 60 + 5 + 1 / 10 (d) 70 + 8 / 10 (e) 88 / 10 -Maths

Last Answer : (a) 5 / 10 = 0.5 (b) 3 + 7 / 10 = 3 + 0.7 = 3.7 (c) 200 + 60 + 5 + 1 / 10 = 265 + 0.1 = 265.1 (d) 70 + 8 / 10 = 70 + 0.8 = 70.8 (e) 88 / 10 = 80 / 10 + 8 / 10 = 8 + 0.8 = 8.8 (f) (g) 3 / 2 = (2 + 1) / ... + 0.5 = 1.5 (h) 2 / 5 = 0.4 (i) 12 / 5 = (10 + 2) / 5 = 10 / 5 + 2 / 5 = 2 + 0.4 = 2.4 (j) (k)

Write each of the following as decimals: (a) Seven-tenths (b) Two tens and nine-tenths (c) Fourteen point six (d) One hundred and two ones (e) Six hundred point eight -Maths

Description : Write each of the following as decimals: (a) Seven-tenths (b) Two tens and nine-tenths (c) Fourteen point six (d) One hundred and two ones (e) Six hundred point eight -Maths

Last Answer : (a) The decimal form of Seven-tenths is 7 / 10 = 0.7 (b) The decimal form of two tens and nine tenths is 20 + 9 / 10 = 20.9 (c) The decimal form of fourteen point six is 14.6 (d) The decimal form of one hundred and two ones is 100 + 2 = 102.0 (e) The decimal form of six hundred point eight is 600.8

Calculate these complex numbers and express your results in rectangular form

Description : Calculate these complex numbers and express your results in rectangular form

Last Answer : Calculate these complex numbers and express your results in rectangular form

√3-1÷√3+1 rationalise (can solve by finding the rationalizing factor of denominator -Maths 9th

Description : √3-1÷√3+1 rationalise (can solve by finding the rationalizing factor of denominator -Maths 9th

Last Answer : This answer was deleted by our moderators...

Rationalise the denominator in each of the following and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236 up to three places of decimal. -Maths 9th

Description : Rationalise the denominator in each of the following and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236 up to three places of decimal. -Maths 9th

Last Answer : Rationalisation of denominator

√3-1÷√3+1 rationalise (can solve by finding the rationalizing factor of denominator -Maths 9th

Description : √3-1÷√3+1 rationalise (can solve by finding the rationalizing factor of denominator -Maths 9th

Last Answer : This answer was deleted by our moderators...

Rationalise the denominator in each of the following and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236 up to three places of decimal. -Maths 9th

Description : Rationalise the denominator in each of the following and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236 up to three places of decimal. -Maths 9th

Last Answer : Rationalisation of denominator

The ratio of the actual mesh dimension of Taylor series to that of the next smaller screen is (A) 2 (B) √2 (C) 1.5 (D) √3

Description : The ratio of the actual mesh dimension of Taylor series to that of the next smaller screen is (A) 2 (B) √2 (C) 1.5 (D) √3

Last Answer : (B) √2

Sphericity of a cubical particle, when its equivalent diameter is taken as the height of the cube, is (A) 0.5 (B) 1 (C) √2 (D) √3

Description : Sphericity of a cubical particle, when its equivalent diameter is taken as the height of the cube, is (A) 0.5 (B) 1 (C) √2 (D) √3

Last Answer : (B) 1

According to maximum shear stress failure criterion, yielding in material occurs, when the maximum shear stress is equal to __________ times the yield stress. (A) 0.5 (B) 2 (C) √2 (D) √3/2

Description : According to maximum shear stress failure criterion, yielding in material occurs, when the maximum shear stress is equal to __________ times the yield stress. (A) 0.5 (B) 2 (C) √2 (D) √3/2

Last Answer : (A) 0.5

4×(√3 + √4)2 + 6(√5 +√6)2 -3(√2 + √3)2 =? a) 167 b) 123 c) 157 d) 153 e) 149

Description : 4×(√3 + √4)2 + 6(√5 +√6)2 -3(√2 + √3)2 =? a) 167 b) 123 c) 157 d) 153 e) 149

Last Answer : ? =4(3+4+2√12) + 6(5+6+2√30)-3(2+3+2√6) =4(7+2√12)+6(11+2√30)-3(5+2√6) =28 + 8√12 + 66 + 12√30 – 15 - 6√6 =(28+66-15) + (8√12+12√30-6√6) =79 + (8√4 × 3 + 12√30 - 6√6) =79+16√3 + 12√30 - 6√6 =79 + 16 ×1.7 + 12 × 5.4 – 6 ×2.4 =79+27.2 + 64.8-14.4 = 156.6 = 157 Answer: c)

The sum of a positive number and its reciprocal is twice the difference of the number and its reciprocal. The number is : (A) √2 (B) 1/√2 (C) √3 (D) 1/√3

Description : The sum of a positive number and its reciprocal is twice the difference of the number and its reciprocal. The number is : (A) √2 (B) 1/√2 (C) √3 (D) 1/√3

Last Answer : Answer: C

Express the following numbers in the form of p/q.(1)0.15 (2)0.00026 (3)23.434343434343...... (4)0.6666666.... -Maths 9th

Description : Express the following numbers in the form of p/q.(1)0.15 (2)0.00026 (3)23.434343434343...... (4)0.6666666.... -Maths 9th

Last Answer : (i) 0.15 = 15/100 = 3/20 (ii) 0.00026 = 26/100000 = 13/50000 (iii) 23.43434343.... Let p/q = 23.434343...... - (i) Multiply both side by 100:- 100 * p/q = 100 * 23.434343...... 100p/q = 2343. ... .434343...... 99p/q = 2320.0 p/q = 2320/99 (iv) 0.6666.... = 6/9 Proceed same as question no. (iii)

Express the following numbers in the form of p/q.(1)0.15 (2)0.00026 (3)23.434343434343...... (4)0.6666666.... -Maths 9th

Description : Express the following numbers in the form of p/q.(1)0.15 (2)0.00026 (3)23.434343434343...... (4)0.6666666.... -Maths 9th

Last Answer : (i) 0.15 = 15/100 = 3/20 (ii) 0.00026 = 26/100000 = 13/50000 (iii) 23.43434343.... Let p/q = 23.434343...... - (i) Multiply both side by 100:- 100 * p/q = 100 * 23.434343...... 100p/q = 2343. ... .434343...... 99p/q = 2320.0 p/q = 2320/99 (iv) 0.6666.... = 6/9 Proceed same as question no. (iii)

A method of expressing the amplitude of complex non-periodic signals such as speech. A. Frequency B. Wavelength C. Volume D. Pitch

Description : A method of expressing the amplitude of complex non-periodic signals such as speech. A. Frequency B. Wavelength C. Volume D. Pitch

Last Answer : C. Volume