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The difference between the number of sides of a heptagon and the numbe..
The difference between the number of sides of a heptagon and the number of sides of a triangle is equal to __________. => The number of sides of a pentagon or The number of sides ..
Geometrical representation of a Complex number, Argand diagram
>The absolute values of z 1 , z 2 and z 1 + z 2 are geometrically given by We know that the sum of any two sides of a triangle is greater than the third. Hence, in D ORP, we have with the equality holding only when O, P, Q are lying in a straight line. That is why this..
>The absolute values of z 1 , z 2 and z 1 + z 2 are geometrically given by We know that the sum of any two sides of a triangle is greater than the third. Hence, in D ORP, we have with the equality holding only when O, P, Q are lying in a straight line. That is why this..Some important results
Given a, b, c and d are non-zero real numbers, we can deduce other proportions by simple Algebra. These results are often referred by the names mentioned along each of the properties obtained. (1) If then bc = ad This property is known as INVERTENDO. (2) If , then ad = bc This property is..
Given a, b, c and d are non-zero real numbers, we can deduce other proportions by simple Algebra. These results are often referred by the names mentioned along each of the properties obtained. (1) If then bc = ad This property is known as INVERTENDO. (2) If , then ad = bc This property is..Step II:
Prove that the statement P(1) holds good by putting n = 1 on one side of the statement and then simplifying it to take the form of the expression on the other side..
To find the logarithm of a Complex number
Let z= x + iy be a complex number. Taking log on both sides..
Let z= x + iy be a complex number. Taking log on both sides..Dividendo
If a:b=c:d then a-b:b=c-d:d Subtracting 1 from both sides, we get ..
If a:b=c:d then a-b:b=c-d:d Subtracting 1 from both sides, we get ..Factorising a trinomial by splitting the middle term
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 these examples, study the relation between the middle and the last terms. Therefore, to factorise expressions of the type (x 2 + cx + d), we have to find two ..
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 these examples, study the relation between the middle and the last terms. Therefore, to factorise expressions of the type (x 2 + cx + d), we have to find two ..Case 3:
When 'n' is a fraction. where 'p' is any positive integer and 'q' is any integer. From Part I, Now taking q t h root of both sides, Hence the theor..
When 'n' is a fraction. where 'p' is any positive integer and 'q' is any integer. From Part I, Now taking q t h root of both sides, Hence the theor..Suggested answer:
By componendo and dividendo, we get Squaring both sides, By componendo and dividendo, we get x(b 2 +1)=2ab ..
By componendo and dividendo, we get Squaring both sides, By componendo and dividendo, we get x(b 2 +1)=2ab ..A recurring decimal can be expressed as a fraction
A recurring decimal is denoted by placing dots or a bar over recurring digits. Express the following recurring decimals as equivalent fractions: (a) (b) (c) (a) Let x = 0.4444 Multiply both sides by 10 ( one digit is recurring)..
A recurring decimal is denoted by placing dots or a bar over recurring digits. Express the following recurring decimals as equivalent fractions: (a) (b) (c) (a) Let x = 0.4444 Multiply both sides by 10 ( one digit is recurring).. Result
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