A) \[\frac{{{V}_{1}}+{{V}_{2}}}{2}\]
B) \[\sqrt{{{V}_{1}}{{V}_{2}}}\]
C) \[\frac{{{V}_{1}}{{V}_{2}}}{{{V}_{1}}+{{V}_{2}}}\]
D) \[\sqrt{2}\frac{{{V}_{1}}{{V}_{2}}}{{{V}_{1}}+{{V}_{2}}}\]
Correct Answer: D
Solution :
Using the formula, slope of a line passing through \[({{x}_{1}},{{y}_{1}})\,({{x}_{2}},{{y}_{2}})\] and \[({{x}_{3}},{{y}_{3}})\]is \[\frac{{{Y}_{2}}-{{Y}_{1}}}{{{X}_{2}}-{{X}_{1}}}=\frac{{{Y}_{1}}-{{Y}_{3}}}{{{X}_{1}}-{{X}_{3}}}\] We have \[\frac{{{V}_{2}}+-O}{V-{{V}_{1}}t}=\frac{0-({{\upsilon }_{3}}|\sqrt{2})t}{{{V}_{1}}t-({{V}_{3}}/\sqrt{2})t}\] \[\Rightarrow \] \[{{V}_{3}}=\frac{\sqrt{2}{{V}_{1}}{{V}_{2}}}{{{V}_{1}}+{{V}_{2}}}\]You need to login to perform this action.
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