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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 gener..
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 gener..Square Matrix
A matrix in which the number of rows is equal to the number of columns, say n, is called a square matrix of order n. In this square matrix of order n the elements a 1 1 , a 2 2 .......a n n is called the principal diagonal or the leading diagonal. T..
A matrix in which the number of rows is equal to the number of columns, say n, is called a square matrix of order n. In this square matrix of order n the elements a 1 1 , a 2 2 .......a n n is called the principal diagonal or the leading diagonal. T..Example 2:
The following are examples of an infinite set. Set of all points on a line segment of 2cm. Set of all similar triangles in a plane. Set of rational numbers between the integers 1 and 2 {x : x I and x > 2} {x: x is an even number..
Note 2:
If a and b are positive numbers, then the above method can also be applied to find the numerically greatest term in the expansion of (a - b) n..
Example 2:
Factorise x 2 - 15x + 1..
Example 2:
Factorise x 2 - 7x + 1..
Example 2:
Determine whether x-3 is a factor of x 3 -3x 2 +4x-1..
Step 2:
Let (1) be true for n = k (2..
Let (1) be true for n = k (2..Note 2:
n C 0 , n C 1 , ..... n C n are called binomial coefficients. n C 0 , n C 2 n C 4 , ..... are called even binomial coefficients. n C 1 , n C 3 , n C 5 .... are called odd binomial coefficient..
Question 2
Question: For the given sequence, suggest possible next three terms and find the general term. -3, 1, 5,---- Answer: First term = -3, Common difference = 1-(-3) = 4 = 5 - 1 Next three terms are 5 + 4 = 9, 9 + 4 = 13, 13 + 4 = 17 General term is = a + (n - 1)d = -3 + (n - 1)4 = 4n - 7..
Result
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