A) \[\frac{a+b}{a-b}\]
B) \[\frac{a-b}{a+b}\]
C) \[\frac{{{(a-b)}^{2}}}{a+b}\]
D) \[\frac{{{(a+b)}^{3}}}{a-b}\]
Correct Answer: D
Solution :
[d] Let x be the required third proportional \[\therefore \] \[\frac{{{a}^{2}}-{{b}^{2}}}{{{(a+b)}^{2}}}=\frac{{{(a+b)}^{2}}}{x}\] \[\Rightarrow \] \[x=\frac{{{(a+b)}^{4}}}{{{a}^{2}}-{{b}^{2}}}=\frac{{{(a+b)}^{3}}(a+b)}{(a+b)(a-b)}=\frac{{{(a+b)}^{3}}}{(a-b)}\]You need to login to perform this action.
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