Miscellaneous Exercise - 3

(i) In a ratio $a:b$ , $a$ is called

• (a) relation
• (b) antecedent
• (c) consequent
• (d) None of these

(xii) The fourth proportional w of $x:y:z:w$ is

• (a) $\frac{xy}{v}$$\frac{x y}{v}$
• (b) $\frac{yy}{x}$$\frac{y y}{x}$
• (c) $x y v$
• (d) $\frac{x}{yy}$$\frac{x}{y y}$

(xiii) If $a:b = x:y$ , then alternando property is

• (a) $\frac{a}{x}=\frac{b}{y}$$\frac{a}{x} = \frac{b}{y}$
• (b) $\frac{a}{b}=\frac{x}{y}$$\frac{a}{b} = \frac{x}{y}$
• (c) $\frac{a+b}{b}=\frac{x+y}{y}$$\frac{a + b}{b} = \frac{x + y}{y}$
• (d) $\frac{a-b}{x}=\frac{x-y}{y}$$\frac{a - b}{x} = \frac{x - y}{y}$

(xiv) If $a:b = x:y$ , then invertendo property is

• (a) $\frac{a}{x}=\frac{b}{y}$$\frac{a}{x} = \frac{b}{y}$
• (b) $\frac{a}{a-b}=\frac{x}{x-y}$$\frac{a}{a - b} = \frac{x}{x - y}$
• (c) $\frac{a+b}{b}=\frac{x+y}{y}$$\frac{a + b}{b} = \frac{x + y}{y}$
• (d) $\frac{b}{a}=\frac{y}{x}$$\frac{b}{a} = \frac{y}{x}$

(xv) If $\frac{a}{b}=\frac{c}{d}$$\frac{a}{b} = \frac{c}{d}$ , then componendo property is

• (a) $\frac{a}{a+b}=\frac{c}{c+d}$$\frac{a}{a + b} = \frac{c}{c + d}$
• (b) $\frac{a}{a-b}=\frac{c}{c-d}$$\frac{a}{a - b} = \frac{c}{c - d}$
• (c) $\frac{ad}{bc}$$\frac{a d}{b c}$
• (d) $\frac{a-b}{b}=\frac{c-d}{d}$$\frac{a - b}{b} = \frac{c - d}{d}$