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A

Alifiya 08/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

If vector a = 5i + j + 3k and vector b = i + j + 5k, then show that the vectors a + b and a - b are perpendicular?

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Shishir 08/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

Find the projection of the vector a = 2i + 3j + 2k on the vector b = i + 2j + k?

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R

Rakes 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

Solve: 5! ?

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Eti replied | 19/11/2016

120

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Richa replied | 20/11/2016

5*4*3*2*1=120

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K

Kamal 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Sequences and Series

Write an equation for the nth term of the geometric sequence 3, 12, 48, 192,....?

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Tapas replied | 29/11/2016

Here, a = 3, and r = 4.
So, tn = a x r^(n-1) = 3 x 4^(n-1).

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Sarvajeet replied | 03/12/2016

Tn = a x (4 power (n-1)).

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C

Chandra 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Complex Numbers

If [cube of (1 - i / 1 - i)] - [cube of (1 - i / 1 + i)] = x + iy, then the value of (x, y)?

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Sarvajeet replied | 03/12/2016

(1,-1).

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N

Neha 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Complex Numbers

If [square of (1 + i)] / 2 - i = x + iy, then find the value of x + y?

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Sarvajeet replied | 03/12/2016

0.

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H

Himani 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Complex Numbers

What is the general equation of complex number?

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K

K.vaishali replied | 11/12/2016

x + iy.

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G

Granth 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Complex Numbers

What is the value of [square root of (-25)] * [square root of (-9)]?

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Tapas replied | 30/11/2016

See the attachment:

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Sarvajeet replied | 03/12/2016

-15.

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R

Rajini Sucharita 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Complex Numbers

2 is a real number or imaginary number with respect to complex number?

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Sarvajeet replied | 03/12/2016

A real number.

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N

Nageswara 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

How many words can be formed by using all letters of the word ‘BIHAR’?

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Tapas replied | 28/11/2016

Here, all the letters are different and there are 5 letters. So, the number of words = 5! = 120.

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R

Rituparna 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7, 9 which are divisible by 5 and none of the digits is repeated?

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Tapas replied | 04/12/2016

For all the numbers the last digit must be 5. So, the 1st, and the 2nd places are occupied by 2, 3, 6, 7, and 9 without any repetition. So, this can be done by taking 2 digits at a time from the above 6 digits.
The number of ways this can be done is 6P2 = !6/!(6-2) = !6/!4 = (6x5x4x3x2x1)/(4x3x2x1) = 6x5 = 30. (Answer)

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R

Raja 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

What is value of (100) P (2)?

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Sreedevi replied | 01/12/2016

(100)! / 98!

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A

Abhinav 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?

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Anil replied | 01/12/2016

Each ring has a choice of 3 fingers, so no of ways =3^6. There are no restrictions.

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Sanjeev replied | 03/12/2016

6C3*3! = 60.

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C

Chandramami 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

What is the difference between permutation and combination?

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Sreedevi replied | 02/12/2016

Permutation involves selection and arrangement where as Combination involves only selection.

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S

Sriram 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Permutation and Combinations

Solve: (9) P (3)?

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Sarvajeet replied | 03/12/2016

504.

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D

Deepak 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Binomial Theorem

What is the general equation for binomial theorem?

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Aswin replied | 20/11/2016

(a+b)^n+

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R

Renu 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Binomial Theorem

Solve: [(99) power 4]?

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Rachna replied | 21/11/2016

(100-1)^4 and then substitute a=100;b=-1 in the binomial expansion of (a+b)^n

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D

Disha 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Sequences and Series

Find the four arithmetic means between 16 and 91?

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Tapas replied | 29/11/2016

Here, the arithmetic means are p, q, r, and s.
So, 16, p, q, r, s, 91, ..... are in A. P. in which t1 = 16, and t6 = 91.
Solving , we can get, a = 16, d = 15.
so, p = 16 + 15 = 31, q = 31+15 = 46, r = 46 + 15 = 61, s = 61 + 15 = 76.
So, the arithmetic means are: 31, 46, 61, 76.

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Sarvajeet replied | 03/12/2016

31, 46, 61, 76.

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M

Madhu 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Sequences and Series

Find the next four terms of arithmetic sequence: 12, 16, 20,....?

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Tapas replied | 29/11/2016

24, 28, 32, 36.

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Sarvajeet replied | 03/12/2016

24, 28, 32, 36.

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Answer

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S

Sensoph 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Sequences and Series

Find the 14th term of the sequence a1 = 3, d = 7?

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Tapas replied | 29/11/2016

For an arithmetic sequence: tn = a + (n-1)d = 3 + (14-1)7 = 3 + 13x7 = 94.

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Sarvajeet replied | 03/12/2016

94.

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P

Probodh 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Sequences and Series

Which term is indicate by the number 20 in the arithmetic sequence: 8, 11, 14, 17, 20,...?

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Tapas replied | 29/11/2016

5th term.

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Sarvajeet replied | 03/12/2016

5th term.

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Answer

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S

Sanjay 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Sequences and Series

What is the formula for finding the sum of nth term?

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Sarvajeet replied | 03/12/2016

Sn=(n/2)(2a+(n-1)d).

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A

Ashish 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Sequences and Series

Find the sum of each arithmetic series: 6 + 13 + 20 + 27 +...... + 97?

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Sarvajeet replied | 23/11/2016

Rs. 721.

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N

Nabodit 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Sequences and Series

Find the sum of series: 18 + 22 + 26 + 30 +..... + 50?

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Sarvajeet replied | 03/12/2016

306.

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Answer

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V

Vishwa Nath 05/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Sequences and Series

What is the formula for arithmetic mean in sequence and series?

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Sarvajeet replied | 03/12/2016

a, b, c are in A. P.
b=(a+c)/2.

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Answer

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