Question 13 MarksIf $\frac{a}{b}=\frac{c}{d}$, then, show that $\frac{3 a-5 b}{3 a+5 b}=\frac{3 c-5 d}{3 c+5 d}$.AnswerSelfView full question & answer→
Question 23 MarksIf $a, b, c, d$ are in continued proportion, prove that $(b+c)(b+d)=(c+a)(c+d)$.AnswerSelfView full question & answer→
Question 33 MarksIf $\frac{x}{b-c}=\frac{y}{c-a}=\frac{z}{a-b}$, then prove that $a x+b y+c z=0$.AnswerSelfView full question & answer→
Question 43 MarksIf $a: b=c: d$, then prove that $(a+b):(c+d)=\sqrt{a^2+b^2}: \sqrt{c^2+d^2}$.AnswerSelfView full question & answer→
Question 53 MarksIf $b$ is the mean proportion between $a$ and $c$, show that $b(a+c)$ is the mean proportion between $\left(a^2+b^2\right)$ and $\left(b^2+c^2\right)$.AnswerSelfView full question & answer→
Question 63 MarksWhat least number must be added to each of the numbers $2,5,18$ and 33 , so that the resulting numbers are proportional?AnswerSelfView full question & answer→