Page 26 - 10-Math-3 VARIATIONS

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(xii) If and y = 28 when x = 7, z = 2, then find y.

(xiii) If z R xy and z = 36 when x = 2, y = 3, then find z.

(xiv) If and w = 2 when v = 3, then find w.

3. Fill in the blanks

(i) The simplest form of the ratio is _____.

(ii) In a ratio x : y; x is called ________.

(iii) In a ratio a : b; b is called ________.

(iv) In a proportion a : b :: x : y; a and y are called ________.

(v) In a proportion p : q :: m : n; q and m are called _______.

(vi) In proportion 7 : 4 :: p : 8, p = ________.

(vii) If 6 : m :: 9 : 12, then m = ________.

(viii) If x and y varies directly, then x = ________.

(ix) If v varies directly as u3, then u3 = ________.

(x) If w varies inversely as p2, then k = ________.

(xi) A third proportional of 12 and 4, is ________.

(xii) The fouth proportional of 15, 6, 4 is ________.

(xiii) The mean proportional of 4m2n4 and p6 is ________.

(xiv) The continued proportion of 4, m and 9 is ________.

SUMMARY

Version 1.1 • A relation between two quantities of the same kind is called
ratio.

• A proportion is a statement, which is expressed as equivalence
of two ratios.

If two ratios a : b and c : d are equal, then we can write a : b = c : d

• If two quantities are related in such a way that increase (decrease)
in one quantity causes increase (decrease) in the other quantity
is called direct variation.

• If two quantities are related in such a way that when one quantity
increases, the other decreases is called inverse variation.

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