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If x = a cosΦ + b sinΦ and y = b cosΦ + a sinΦ, then find the value of x2 + y2 is ?

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Simple equations are mathematical expressions that involve one or more variables and follow the basic algebraic form. In these equations, the goal is to find the values of the variables that satisfy the given conditions. Simple equations typically consist of addition, subtraction, multiplication, and division operations, making them fundamental to understanding algebraic concepts.

A box contains 90 discs which are numbered 1 to 90. If one disc is drawn at random from the box, the probability that it bears a perfect…

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Read the passage carefully and answer the following questions Many of the serious health concerns in modern America can be linked to poor diet. People who regularly consume foods high in sodium, sugar and saturated fats not only increase their chances of obesity, but also increase their risks of developing heart diseases, hypertension, diabetes and several types of cancer. Although some people, who regularly consume unhealthy foods, do so knowingly, there is also a significant portion of the population that remains under-educated about proper nutrition. What is more, individuals who live in food deserts – areas in low income neighbourhoods that lack easy access to healthy affordable food…

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Study the table and answer the following questions Monthly bill(in Rs.) of landline phone, electricity, laundry and mobile phone paid by…

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Equation of straight line parallel to x-axis and also 3 units below x-axis is:

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Find the probability that a leap year chosen at random will have 53 Sundays.

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