Negative of a Complex number
If Z = a + ib, then Z is called the negative of Z. -Z = -(a + ib) = -a - ..
Remember:
If the middle term is positive, and the last term is negative, the sign of one of the factors is positive and the other is negative..
Factorization of trinomials
The general form of the trinomial is (x 2 + cx + d) where c and d have different numerical values: c = a + b, and d = ab. In the given trinomial expression if all terms are positive, then both the factors are positive. If the middle term is negative, and last term is po..
Complex Numbers
Square root of a negative number is known as an imaginary number . If x and y are real numbers, then x + iy is called a complex number . x is called the real part and y is called the imaginary part . The following are the type..
To find the logarithm of a Complex number
Let z= x + iy be a complex number. Let Z = r i q . This formula is useful for finding the logarithm of negative numbers als..
Let z= x + iy be a complex number. Let Z = r i q . This formula is useful for finding the logarithm of negative numbers als..Part I:
When 'n' is any integer, positive or negative then ..
When 'n' is any integer, positive or negative then ..Imaginary Number
Square root of a negative number is known as an imaginary number. a > 0 is an imaginary number. or A number whose square is negative is known as an imaginary number. . . . The symbol i, We writ..
Square root of a negative number is known as an imaginary number. a > 0 is an imaginary number. or A number whose square is negative is known as an imaginary number. . . . The symbol i, We writ..Suggested answer:
[Since both are same i.e., 4ab and 4bc are negative, b should be negative..
[Since both are same i.e., 4ab and 4bc are negative, b should be negative..Polar form of a Complex number
is called the modulus of the complex number z denoted by |z| and q = tan -1 y/x is called the amplitude or argument of the complex number z denoted by amp(z) or arg(z). The value of q is such that - p < q p , is called the principal value of the amplitude. The general value o..
is called the modulus of the complex number z denoted by |z| and q = tan -1 y/x is called the amplitude or argument of the complex number z denoted by amp(z) or arg(z). The value of q is such that - p < q p , is called the principal value of the amplitude. The general value o..Case 2:
When 'n' is a negative integer. Let n = -m and m > 0 ..
When 'n' is a negative integer. Let n = -m and m > 0 ..See what our Users say :
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