two numbers sum and difference are 99 and 9 respectively

From the above examples on approximation, we observe that the approximated value may be more or less than the original number. The difference between these two values is called the absolute error. Absolute Error = Original number - Approximated number..

of (a + b) n and is given by - If n is an odd natural number, then there are two middle terms in the expansion of (a + b)n and are given by i) The sum of all binomial coefficients in the expansion of (1+x) n is 2 n . ii) The sum of all even binomial..

Question: If S 1 , S 2 , S 3 be respectively the sum of n, 2n, 3n terms of GP, prove that: i) S 1 2 +S 2 2 = S 1 (S 2 + S 3 ) ii) S 1 (S 3 - S 2 ) = (S 2 - S 1 ) 2 Answer: ..

>If any two rows or columns of a determinant are equal, then its value is zero. If each element of a row or column of a determinant multiplied by k, then its value is multiplied by k. If two rows or columns of determinant are proportional, the value of the determinant is zero. A..

If Z 1 = a + ib and Z 2 = x + iy, then we define their sum as Z 1 + Z 2 = (a + ib) + (x + iy) = (a + x) + i(b + y) which is a complex number..

The relative complement of set B in set A is the complement of B in ..

Two numbers are in the ratio 3:4. If 8 is added to the numbers, the ratio becomes 5:6. Find the numbers..

Question: Answer: To find the two middle terms: Since n = 9, the two middle terms are ..

To multiply two complex fractions, convert the fractions to simple fractions and follow the steps you use to multiply two simple fractions. Example: Calculate 4/5 X 9 2/3 4/18 Solution : Convert the numerator 4/5 2..

Steps to add Fractions with different denominators: Step 1 : Find the Least Common Denominator (LCD) of the fractions Step 2 : Rename the fractions to have the LCD Step 3 : Add the numerators of the fractions Step 4 : Simplify the Fracti..