11.Represent the following problem situations in the form of quadratic equations: Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.
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12.
A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.
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Short Answer Type
13.Find the roots of the following quadratic equations by factorisation method: x2 – 3x – 10 = 0
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14.Find the roots of the following quadratic equations by factorisation method: 2x2 + x – 6 = 0
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15.Find the roots of the following quadratic equations by factorisation method:
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16.Find the roots of the following quadratic equations by factorisation method:
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17.Find the roots of the following quadratic equations by factorisation method:
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Long Answer Type
18.John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
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19.A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. We would like to find out the number of toys produced on that day.
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20.Find two numbers whose sum is 27, and product is 182.