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A teacher poses the following problem of algebra to her class: "Does the graph x = y2 ever intersect the graph of x = y2 + 2? What are the different ways you would use to test your conjecture? Would your conjecture hold true for other equations of the form x = y2 + b." Which of the following statement/statements is/are correct in the given context? (a) One of the learning outcomes of posing this question is comparison and analysis of quadratic equations. (b) Teacher should focus only on getting the solution that the two graphs will not intersect. (c) The teacher can assess the reasoning skills of students. (d) Such questions confuse the students and hence should be discouraged in a mathematics classroom. Choose the correct option:-
S1: Man has existed for about a million years.
P: Science, as a dominant factor in determining the beliefs of educated men, has existed for about 300 years; as a source of economic technique, for about 150 years.
Q: When we consider how recently it has risen to power, we find ourselves forced to believe that we are at the very beginning of its work in transforming human life.
R: In this brief period it has proved itself an incredibly powerful revolutionary force.
S: He has possessed writing for about 6,000 years, agriculture somewhat longer, but perhaps not much longer.
S6: What its future effects will be is a matter of conjecture, but possibly a study of its effects hitherto may make the conjecture a little less hazardous.

The Proper sequence should be:
Meaning of " Conjecture' is related to--
The meaning of "Conjecture"-
What is the synonym of ' Conjecture'?
Choose the correct antonym of "Conjecture.
The synonym of the word "conjecture" is
Apple India has kicked off a sales revamp that involves blacklisting retailers if they pick up stock from wholesalers that sell at a discount, reining in the rapid expansion into neighbourhood stores and ensuring sales at maximum retail price as in the US. That’s a throwback to the earlier practice in India when retailers only offered discounts as part of Apple-backed consumer promotions. Which of the following is a perfect conjecture based on the given piece of information?
Assertion (A) : The volume of imports tends to be very high when there is a conjecture of high rate of economic growth and a sharp fall in the relative price of imports and vice versa. Reason (R) : High rate of growth, ceteris paribus, is associated with rise in imports and increase in the imports, ceteris paribus, is associated with a fall in the relative price of imports.
In what has been touted as the biggest Prime Day yet, Amazon India's 36-hour blockbuster sales event is finally here. Open exclusively for all its Prime members, this edition promises 200 new product launches from top brands, unparalleled deals and top-notch video releases. While all categories are proposing massive discounts as well as great payment offers, shoppers will have myriad options to choose from among large appliances like washing machines, refrigerators, televisions as well as ACs and microwave ovens. Which of the following is a perfect conjecture based on the given piece of information?