number patterns to 100


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Factorisation of trinomials of the form x2+bx+c
Factorisation of trinomials of the form x 2 +bx+c Trinomials are expressions with three terms. For example, x 2 + 14x + 49 is a trinomial. There is no single method by which all trinomials can be factorised. We need to study the pattern in trinomials and choose the appropriate metho..
Conclusion
We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, Gauss-Jordan method etc. They a..
Introduction
Let us consider the marks obtained by four students in Physics, Chemistry and Biology for the first unit test. We have represented the data in rows and columns. (i) Rows show the marks obtained by each student. (ii) The columns show the marks in Physics, Chemistry, Biology obtained by each student...
To represent an irrational number on the number line
To mark , an irrational number, on the number line. Let OA = AB = 1 unit and Then in rt. = 1 + 1 Cut off OP = OB = on the number l..
Properties of Complex numbers
If Z, Z 1 and Z 2 are complex numbers, th..
Componendo
If a:b=c:d, then a+b:b=c+d:d Adding 1 to both sides, we get ..
2nd Method:
Ans: (i) , (i..
Summary
. Pascal's triangle The coefficients of various terms in (a+b) n for different values of n follows the pattern given below: General term For 0 < r < n, T r+1 in the expression of (a + b) n is given by T r+1 = n C r a n-r b r . (r + 1) t h term at the end in the expansion of (a+b) n ..
A recurring decimal can be expressed as a fraction
(b) Let x = Multiply both sides by 100 ( two digits are recurring) We can find equivalent fraction for recurring decimal (c) Let x..
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