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Irrational Numbers
) It is not possible to find the exact value of an irrational number. (iii) All rational and irrational numbers can be marked on the number line. Write two possible irrational numbers between 2 and 3. Consider the squares of 2 and 3 and 5 and 6 lie ..
) It is not possible to find the exact value of an irrational number. (iii) All rational and irrational numbers can be marked on the number line. Write two possible irrational numbers between 2 and 3. Consider the squares of 2 and 3 and 5 and 6 lie ..Complex number
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 write, P..
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 write, P..Examples:
a) Ratio of Rs.20 to Rs. 48 Rs.20, Rs.48 are commensurable. , 4 are incommensurable (Ratio cannot be expressed in terms of integers, c) Ratio of the side of square to its diagonal. ..
a) Ratio of Rs.20 to Rs. 48 Rs.20, Rs.48 are commensurable. , 4 are incommensurable (Ratio cannot be expressed in terms of integers, c) Ratio of the side of square to its diagonal. ..Sub-duplicate Ratio:
The ratio obtained by taking the square root of the given ratio a:b is called the sub-duplicate ratio. is the sub-duplicate ratio of a : b. For example, the sub-duplicate ratio of 4 : 9 is or 2 :..
The ratio obtained by taking the square root of the given ratio a:b is called the sub-duplicate ratio. is the sub-duplicate ratio of a : b. For example, the sub-duplicate ratio of 4 : 9 is or 2 :..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..Equality of Matrices
Equality of Matrices - If two matrices have their corresponding elements equal, then they are called equal matrices. If then a = p, b = q, c = r and d = s. a = 7, b = 9, c = 3. (i) Two equal matrices are exactly the same. (ii) If rows are changed in..
Complex number
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..
Matrices Summary
Summary - A matrix is a rectangular array of numbers, arranged in rows and columns. Order of a matrix = Number of rows in it x Number of columns in it Row matrix is a matrix with only one row. Column matrix is a matrix with only one column. Zero or Null matrix is a mat..
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Let x be the third proportional to 5 and 10. 5:10=10:x. 5x=10 x 10 (product of extreme is equal to product of means) 6) Find two numbers such that the mean proportional between them is 24 and the third proportional to them is 19..
Let x be the third proportional to 5 and 10. 5:10=10:x. 5x=10 x 10 (product of extreme is equal to product of means) 6) Find two numbers such that the mean proportional between them is 24 and the third proportional to them is 19..Step 1:
Find a value of the variable x for which the value of x 2 + 3x - 4 is equal to 0. Let x =1, Then, f(1) = (1) 2 + 3(1) - 4 = 0..
Find a value of the variable x for which the value of x 2 + 3x - 4 is equal to 0. Let x =1, Then, f(1) = (1) 2 + 3(1) - 4 = 0.. Result
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