Represent the following situations in the form of quadratic equations:(ii) The product of two consecutive positive integers is 306.We need to find the integers.

Prove that the product of two consecutive positive integers is divisible by 2.

Represent the following situations in the form of quadratic equations:(i)The area of a rectangular plot is 528m^2 .The length of the plot(in meters) is one more than twice its breadth.We need to find length and breadth of the plot.

Represent the following situations in the form of quadratic equations:(iv)A train travels a distance of 480 km at a uniform speed.If the speed had ben 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.

Express the following statements by equations : The sum of three consecutive even integers is 72.

Express the following statements by equations : The sum of three consecutive integers is 36.

Find two cosecutive positive integers,sum of whose squares is 365.

Express the following as the sum of two consecutive integers. 13^2

Express the following as the sum of two consecutive integers. 21^2

Express the following as the sum of two consecutive integers. 11^2

Express the following as the sum of two consecutive integers. 19^2