Question
Match the following:
  Column $I$   Column $II$
$(i)$ $\frac{\text{a}}{\text{b}}\div\frac{\text{a}}{\text{b}}$ $(a)$ $\frac{-\text{a}}{\text{b}}$
$(ii)$ $\frac{\text{a}}{\text{b}}\div\frac{\text{c}}{\text{d}}$ $(b)$ $-1$
$(iii)$ $\frac{\text{a}}{\text{b}}\div(-1)$ $(c)$ $1$
$(iv)$ $\frac{\text{a}}{\text{b}}\div\frac{-\text{a}}{\text{b}}$ $(d)$ $\frac{\text{bc}}{\text{ad}}$
$(v)$ $\frac{\text{b}}{\text{a}}\div\Big(\frac{\text{d}}{\text{c}}\Big)$ $(e)$ $\frac{\text{ad}}{\text{bc}}$

Answer

  Column $I$   Column $II$
$(i)$ $\frac{\text{a}}{\text{b}}\div\frac{\text{a}}{\text{b}}$ $(c)$ $1$
$(ii)$ $\frac{\text{a}}{\text{b}}\div\frac{\text{c}}{\text{d}}$ $(e)$ $\frac{\text{ad}}{\text{bc}}$
$(iii)$ $\frac{\text{a}}{\text{b}}\div(-1)$ $(a)$ $\frac{-\text{a}}{\text{b}}$
$(iv)$ $\frac{\text{a}}{\text{b}}\div\frac{-\text{a}}{\text{b}}$ $(b)$ $-1$
$(v)$ $\frac{\text{b}}{\text{a}}\div\Big(\frac{\text{d}}{\text{c}}\Big)$ $(d)$ $\frac{\text{bc}}{\text{ad}}$
$i. $ Given, $\frac{\text{a}}{\text{b}}+\frac{\text{a}}{\text{b}}$
$=\frac{\text{a}}{\text{b}}\times\frac{\text{b}}{\text{a}}$
$=1$
$ii.$ Given, $\frac{\text{a}}{\text{b}}+\frac{\text{c}}{\text{d}}$
$=\frac{\text{a}}{\text{b}}\times\frac{\text{d}}{\text{c}}$
$=\frac{\text{ad}}{\text{bc}}$
$iii.$ Given, $\frac{\text{a}}{\text{b}}+(-1)$
$=\frac{\text{a}}{\text{b}}\times(-1)$
$=\frac{-\text{a}}{\text{b}}$
$iv.$ Given, $\frac{\text{a}}{\text{b}}+\frac{-\text{a}}{\text{b}}$
$=\frac{\text{a}}{\text{b}}\times\Big(\frac{-\text{b}}{\text{a}}\Big)$
$=-1$
$v.$ Given, $\frac{\text{b}}{\text{a}}+\Big(\frac{\text{d}}{\text{c}}\Big)$
$=\frac{\text{b}}{\text{a}}\times\frac{\text{c}}{\text{d}}$
$=\frac{\text{bc}}{\text{ad}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free