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Let tye square root of 1+i =root over 1+i Root over 1+i=x+iy By Squaring both sides We get , 1+i=(x+iy)² 1+i=x²+y²i²+2xyi As we know that i²=-1 So,, 1+i=x²-y²+2xyi Now compare real part and imaginary part on both sides... 1=x²-y²----1 equation 1=2xy------2equatiin We know a identwe says that (x²+y²)²=(x²-y²)²+(2xy)² Now put the values in this identity On adding and subtracting the above equations , we get ∴x2=22+1 and y2=22−1. ∴x=±22+1andy=±22−1 So, by equation (1), 1−i=22+1−i22−1 Ans: 1

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Aryan Choudhary 1 year, 6 months ago

Bjkkikgg

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Formula of gp

Posted by Anmolpreet Kaur 1 year, 6 months ago

CBSE > Class 11 > Mathematics

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How many sets

Posted by Namrata Yadav Yadav 1 year, 7 months ago

CBSE > Class 11 > Mathematics

1 answers

Mohit Kumar 1 year, 6 months ago

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Find the equation of the parabola with focus (2, 0) and directrix x = -2 and also length of latus rectum.

Posted by Animesh Raj 1 year, 7 months ago

CBSE > Class 11 > Mathematics

1 answers

Prakash Sonali 1 year, 7 months ago

The focus of parabola is F ( 2,0 ) and it's directrix is the line x =-3

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Posted by Rohit Sharma 1 year, 7 months ago

CBSE > Class 11 > Mathematics

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Competitive exams are considered an egalitarian way to select worthy applicant without risking influence pending bias or other Concerns self motivated and hard worker candidate find this exam Very simple to clear a prestigious competitive exam to get admission In a world reputed college a student has 75% chance of passing in at list one subject out of three subjects A, B and C 50% chance of passing In at least two subjects and 40% chance of passing exactly two subject Based on above information , answer following questions. 1)what is the value of P ( A U B U C) ?

Posted by Bicky Paswan 8 months, 4 weeks ago

CBSE > Class 11 > Mathematics

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farmer, Ramgarh, took a bank loan from SBI for repairing his house. But he could not pay the amount on time. This resulted in the accumulation of interest and the amount pay reached Rs. 1, 00,000. After a few months, the farmer opened a shop that resulted in enough income and the income increased on a regular basis. So he decided to pay the bank loan in a different manner. The farmer visited the bank. He made an agreement with the bank that he will start paying the amount of Rs.1, 00,000 without interest from January 2020. In January 2020 he will pay Rs.5000 and will increase the payment by Rs.100 in each month, as shown in the figure. Now answer the following questions. i) In how many months will the farmer clear the loan amount? * 1 point a) 16 b) 15 c) 18 d) 20 ii) How much amount he has to pay in the last month in rupees?* 1 point a) 1400 b) 1500 c) 1800 d) 2000 This is a required question iii) In which month he will pay Rs. 6000? * 1 point a) 14th b) 10th c) 12th d) 11th iv) How much amount in rupees till 10th month he will have paid? * 1 point a) 54500 b) 50000 c) 55000 d) 60000

Posted by Soumya Sarthak 1 year, 8 months ago

CBSE > Class 11 > Mathematics

1 answers

Guru Prasanna 10 months, 3 weeks ago

18,1400,11,6400

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Let A and B be two sets such that n(A) =20 , n(A∪B)=42 nd n(A∩B)=4 Find n(B), n(A-B) and n(B-A)

Posted by Sreehari J 1 year, 8 months ago

CBSE > Class 11 > Mathematics

1 answers

Preeti Dabral 1 year, 8 months ago

Solution is given below:

{tex}\begin{aligned} & n(A \cup B)=n(A)+n(B)-n(A \cap B) \\ & n(B)=42-20+4=26 \\ & n(A-B)=n(A)-n(A \cap B)=20-4=16 \\ & n(B-A)=n(B)-n(A \cap B)=26-4=22 \end{aligned}{/tex}

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if A = (1,2,0,-1,-2) then number of subsets of A are

Posted by Sreehari J 1 year, 8 months ago

CBSE > Class 11 > Mathematics

3 answers

Prathamesh Kharade 1 year, 6 months ago

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Test Account 1 year, 7 months ago

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Sharan M 1 year, 8 months ago

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student of class XI draw a square of side 10cm. Another student join the mid -point of this square to form new square. Again, the mid-points of the sides of this new square are joined to form another square by another student. This process is continued indefi nitely. Based on above information, answer the following questions. i. The side of fourth square is (in cm): a. 5 b. 5 Marks 2 c. 5 d. None of these ii. The area of the fifth square is (in sq cm): a. 25 b. 50 c. 25 d. 25 iii. The perimeter of the 7th square is (in cm): a. 10 b. 20 c. 5 d. 5 iv. The sum of areas of all the square formed is (in sq cm): a. 150 b. 200 c. 250 d. None of these v. The sum of the perimeter of all the square formed is (in cm):

Posted by Md Mazid Mahboob 1 year, 8 months ago

CBSE > Class 11 > Mathematics

1 answers

Md Mazid Mahboob 1 year, 8 months ago

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Evaluate: i + i^2 + i^3 + i^4 + .... + i^x where, {x:x is a number of primes less than 73}

Posted by Roshna Rajesh 1 year, 8 months ago

CBSE > Class 11 > Mathematics

1 answers

Sharan M 1 year, 8 months ago

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On her winter vacations Myiesha visits four cities (Delhi ,Mumbai ,Goa and Bangalore) in random order. On the basis of infonnation given above and using pennutations answer the following . i)What is the probability that she visits Delhi before Goa and Goa before Mumbai? ii)What is the robabili that she visits Delhi First and Mumbai last? iii) What is the probability that she visits Delhi just before Mumbai?

Posted by Prakash P 1 year, 8 months ago

CBSE > Class 11 > Mathematics

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For an EMC project Students need rectangular sheets, therefore they made Eco friendly rectangular sheet PQRS from the paper waste as shown belowOn the coordinate plane equation of QR is 3x+4y=12 and point Pis (2,4), While point R is (16/5,a) On the basis information given above answer the following i)Find the equation of PR. ii)Find the value of a. iii)Find the area of the rectangular sheet. iv)Find the perimeter of the rectangular sheet.

Posted by Prakash P 1 year, 8 months ago

CBSE > Class 11 > Mathematics

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Case study 2: Sundar went for a picnic with his family. While travelling in a bus, he missed his case. But he made a lock with 6 digit code in sulcase. After some time he got his suitcase But forgot that key to unlock. But he knows two digits are repeating 888 Based on the above information, answer the following questions (1) In how many ways he needs to identify the lock code? (ii) He knows that first digit is 3, then how many ways to find the code. (iii) Write the number of permutations (a) if repetition is allowed (b) if repetition is not allowed

Posted by Siddharthi S 1 year, 8 months ago

CBSE > Class 11 > Mathematics

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Find the equation of a line whose perpendicular distance from the Origin is 4 unit and the angle which the normal makes with positive direction of x axis is 15°

Posted by Prithvi Raj Jangid 1 year, 8 months ago

CBSE > Class 11 > Mathematics

1 answers

Preeti Dabral 1 year, 8 months ago

We are given that, p = 4 and ω = 15⁰
Now, {tex}\cos 15^{\circ}=\frac{\sqrt{3}+1}{2 \sqrt{2}}{/tex}
and {tex}\sin 15^{\circ}=\frac{\sqrt{3}-1}{2 \sqrt{2}}{/tex}
The equation of the line is x cos ω + y sin ω = p
{tex}x \cos 15^{\circ}+y \sin 15^{\circ}{/tex}
or {tex}\frac{\sqrt{3}+1}{2 \sqrt{2}} x+\frac{\sqrt{3}-1}{2 \sqrt{2}} y=4{/tex}
or {tex}(\sqrt{3}+1) x+(\sqrt{3}-1) y=8 \sqrt{2}{/tex}
This is the required equation.

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Domain and range of 1 upon underroot9-x square

Posted by Aditya Chauhan 1 year, 8 months ago

CBSE > Class 11 > Mathematics

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Sinx.cosx ka according to first principle solution

Posted by Mohit Pathak 1 year, 8 months ago

CBSE > Class 11 > Mathematics

0 answers

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sin 3 x cos 4x-sin x cos 2x /sin 4x * sinx + cos6x*cosx= tan2x

Posted by Gʜᴀɴsʜʏᴀᴍ Behera 1 year, 8 months ago

CBSE > Class 11 > Mathematics

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Sinx ka according to first principle solution

Posted by Mohit Pathak 1 year, 8 months ago

CBSE > Class 11 > Mathematics

1 answers

Mohit Pathak 1 year, 8 months ago

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What is a relation

Posted by Piyush Kumar 1 year, 8 months ago

CBSE > Class 11 > Mathematics

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Mohit Singh 1 year, 8 months ago

Means

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Posted by Aamir Gour 1 year, 8 months ago

CBSE > Class 11 > Mathematics

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Solve 4x+7<6x+3 for real values of x

Posted by Ramasamy C Ramasamy 1 year, 8 months ago

CBSE > Class 11 > Mathematics

1 answers

Md Tariq Anwar 1 year, 8 months ago

x>2

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Set all mcq for class 11

Posted by Vadapalli Hrushik 1 year, 8 months ago

CBSE > Class 11 > Mathematics

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A farmer, Ramgarh, took a bank loan from SBI for repairing his house. But he could not pay the amount on time. This resulted in the accumulation of interest and the amount to pay reached Rs.1,00,000. After a few months, the farmer opened a shop that resulted in enough income and the income increased on a regular basis. So he decided to pay the bank loan in a different manner. The farmer visited the bank. He made an agreement with the bank that he will start paying the amount of Rs.1,00,000 without interest from Jan 2020. In January he will pay Rs.5000 and will increase the payment by Rs. 100 in each month, as shown in the figure. Now answer the following questions: In how many months will the farmer clear the loan amount? 16 15 18 20 How much amount he has to pay in last month in rupees? 1400 1500 1800 2000 In which month he will pay Rs.6000? 14th 10th 12th 11th How much amount he will pay in 10th month in Rs.? 6000 6400 7500 7000 How much amount in rupees till 10th month he will have paid? 54500 50000 55000 60000

Posted by Suhani Tiwari 1 year, 9 months ago

CBSE > Class 11 > Mathematics

2 answers

Preeti Dabral 1 year, 9 months ago

(c) 18
(a) 1400
(d) 11th
(b) 6400
(a) 54,500

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Saunak Neogi 1 year, 8 months ago

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A sin theta + b cos theta is equal to a cosec theta + b sec theta then find the value of a square cos ki power 6 theta minus b square sin the power 6 theta + 2AB sin cube theta into cos cube theta

Posted by Janvi Singh 1 year, 9 months ago

CBSE > Class 11 > Mathematics

1 answers

Aamir Gour 1 year, 8 months ago

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If the set a has 3 elements and the set b ={3'4'5} THEN FInd the number of elements in (A×B)

Posted by Safa Muskan 1 year, 9 months ago

CBSE > Class 11 > Mathematics