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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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R

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

Find the 8th term of a geometric sequence for which a = -3 and r = -2?

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Richa replied | 19/11/2016

384

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Sarvajeet replied | 03/12/2016

384.

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J

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

Find the next two terms of each geometric sequence: 20, 30, 45, ....?

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Tapas replied | 29/11/2016

Here, a = 20 and r = 30/20 = 45/30 = 3/2 = 1.5.
So, next two terms are, 45 x 1.5 = 67.5 and 67.5 x 1.5 = 101.25.

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Sarvajeet replied | 03/12/2016

67.5 and 101.25.

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A

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

For a positive integer n, find the value of [(1 - i) power n] [(1 - 1/i) power n]?

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P

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

If z = x + iy, then show that z * (bar of z) + 2 (z + bar of z) + b = 0, where b belongs to R, represents a circle?

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R

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

Show that the complex number z, satisfying the condition arg (z - 1 / z + 1) = ? / 4 lies on a circle?
Solve the equation (modulus of z) = z + 2i?

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M

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

If [modulus of (z + 1)] = z + 1 + 2i, then find z?

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A

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

Show that [modulus of (z - 2 / z - 3)] = 2 represents a circle. Find its centre and radius?

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F

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

Z1 and Z2 are two complex numbers such that (modulus of Z1) = (modulus of Z2) and arg (Z1) + arg (Z2) = ?, then show that (Z1) = [bar of (-Z2)]?

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P

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

If for complex numbers z1 and z2, arg(z1) - arg(z2) = 0, then show that [modulus of (z1 - z2)] = [modulus of (z1)] - [modulus of (z2)]?

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R

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

Define complex number?

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U

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

What is the value of i?

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J

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

What is the formula for Argand plane with respect to complex number?

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A

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

What do you mean by real value and imaginary value with respect to complex number?

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T

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

Fill in the blank: For any two complex numbers z1, z2 and any real numbers a, b, {square of [modulus of (az1 - bz2)]} + {square of [modulus of (bz1 + az2)]} = _____?

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U

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

If [modulus of (z)] = 4 and arg (z) = 5? / 6, then what is the value of z?

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G

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

If [mod of (z - 2 / z + 2)] = ? / 6, then what is the locus of z is _____?

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R

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

What is the multiplicative inverse of 1 + i?

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

What do you mean by multiplicative inverse with respect to complex number?

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S

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

Is order relation is defined on the set of complex numbers. Justify?

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U

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

What inequality represents in complex number?

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D

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

What is the conjugate of 2 - i / [square of (1 - 2i)]?

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R

Rayaan 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Mathematical Induction

Use mathematical induction to prove that: 1 + 2 + 3 +...... + n = n(n + 1) / 2 for all positive integers n?

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S

Sarita 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Mathematical Induction

Prove that: (square of 1) + (square of 2) + (square of 3) + (square of 4) +.....+ (square of n) = n(n + 1) ( 2n + 1) / 6. For all positive integers n?

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V

Varada 04/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Mathematical Induction

Prove that for any positive integer number n, (cube of n) + 2n is divisible by 3?

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