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  3. RAJASTHAN ­ PET

RAJASTHAN ­ PET Rajasthan PET Solved Paper-2011

  • question_answer
    Two numbers are a and b. What is the relation between their GP, AP and HP. If AP denotes A GP denotes G and HP denotes H?

    A)  \[H=\frac{2AG}{A+G}\]   

    B)  \[A=H/{{G}^{2}}\]

    C)  \[H={{G}^{2}}/A\]     

    D)  \[G={{H}^{2}}/A\]

    Correct Answer: C

    Solution :

     \[A=\frac{a+b}{2},{{G}^{2}}=ab,H=\frac{2ab}{a+b}\] \[\therefore \] \[A\,H=\left( \frac{a+b}{2} \right)\left( \frac{2ab}{a+b} \right)\] \[ab={{G}^{2}}\] \[\Rightarrow \] \[H={{G}^{2}}/A\]


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