Which of the following is-are the correct reason-s- for using nbsp-pictographs-1-1- 3-1- 2- 3- 4-1- 2- 4-

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Standard VI

Mathematics

Pictographs

Which of the ...

Question

Which of the following is/are the correct reason(s) for using pictographs?

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1, 3

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1, 2, 3, 4

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1, 2, 4

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Solution

The correct options are
A
1

C
1, 2, 3, 4

D
1, 2, 4

A pictograph represents data through pictures of objects. It helps answer the questions on the data at a glance. They can be applied to any data set, but it can be difficult in some specific cases. Suppose if you have to represent sales of cars for a company in a year, it will be so difficult to represent data like 39837 or 30001, using pictures.

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Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(i) $(- 1, - 2), (1, 0), (- 1, 2), (- 3, 0)$
(ii) $(- 3, 5), (3, 1), (0, 3), (- 1, - 4)$
(iii) $(4, 5), (7, 6), (4, 3), (1, 2)$

Question 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers.
(a) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [- \frac{1}{4} \times \frac{2}{3}] + [- \frac{1}{4} \times (\frac{- 4}{7})]$
(b) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [\frac{1}{4} \times \frac{2}{3}] - (\frac{- 4}{7})$
(c) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = \frac{2}{3} + (- \frac{1}{4}) \times \frac{- 4}{7}$
(d) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = {\frac{2}{3} + (\frac{- 4}{7})} - \frac{1}{4}$

Q. Which of the following relations are functions? Give reasons.

If it is a function determine its domain and range
(i)

{(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}

(ii)

{(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}

(iii)

{(1, 3), (1, 5), (2, 5)}

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:

(i) $(- 1, - 2), (1, 0), (- 1, 2), (- 3, 0)$

(ii) $(- 3, 5), (3, 1), (0, 3), (- 1, - 4)$

(iii) $(4, 5), (7, 6), (4, 3), (1, 2)$

Q. Prove the following by using the principle of mathematical induction for all

n \in N

\frac{1}{1 \cdot 2 \cdot 3} + \frac{1}{2 \cdot 3 \cdot 4} + \frac{1}{3 \cdot 4 \cdot 5} + \dots + \frac{1}{n (n + 1) (n + 2)} = \frac{n (n + 3)}{4 (n + 1) (n + 2)}

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