Which of your family members work to earn money?

Family members Work they do

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Solution

Disclaimer: The purpose of this section is to encourage students to observe their surroundings. The answers may vary, depending upon the observations made by students. It is highly recommended that the students prepare the answers on their own. A sample answer is provided below for reference.

Family members Work they do

Father Runs a business

Brother Works in a bank

Grandfather Works in a government office

Mother Teaches in a school

Uncle Runs a garment shop

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(i) - A - A - A - A - A - A-
(ii) - A - B - B - A - A - A - B - A -

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$\times A A - ---------- -$

$A A$

$+ A A \times - -------- -$

$A B A - --------- -$

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Q. Find the value of

\frac{\sqrt{a} + \sqrt{a + n d}}{\sqrt{a} + \sqrt{a + d}} + \frac{\sqrt{a} + \sqrt{a + n d}}{\sqrt{a + d} + \sqrt{a + 2 d}} + \dots + \frac{\sqrt{a} + \sqrt{a + n d}}{\sqrt{a + (n - 1) d} + \sqrt{a + n d}}

$Let (1 + x + x^{2})^{2014} = a_{0} + a_{1} x + a_{2} x^{2} + a_{3} x^{3} + . . . . + a_{4028} x^{4028} and let A = a_{0} - a_{3} + a_{6} - . . . . . . + a_{4026,} B = a_{1} - a_{4} + a_{7} - . . . . . . - a_{4027,} C = a_{2} - a_{5} + a_{8} - . . . . . . + a_{4028} Then$

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Family members	Work they do
______________________	______________________
______________________	______________________
______________________	______________________
______________________	______________________
______________________	______________________

Family members	Work they do
Father	Runs a business
Brother	Works in a bank
Grandfather	Works in a government office
Mother	Teaches in a school
Uncle	Runs a garment shop