Q48 of 106 Page 310

State whether the statements are true (T) or false (F).

If d varies directly as t2, then we can write dt2 = k, where k is some constant.

False

If d varies inversely as t2, then we can write dt2 = k, where k is some constant.


Since, two quantities x and y are said to be in inverse proportion, if an increase in x cause a proportional decrease in y and vice-a-versa, in such a manner that the product of their corresponding values remains constant.


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46

State whether the statements are true (T) or false (F).

Length of a side of a square and its area vary directly with each other.

 47

State whether the statements are true (T) or false (F).

Length of a side of an equilateral triangle and its perimeter vary inversely with each other.

 49

State whether the statements are true (T) or false (F).

If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.

 50

If x and y are in direct proportion, then (x – 1) and (y – 1) are also in direct proportion.