VIT Engineering VIT Engineering Solved Paper-2008

  • question_answer
    The\[{{\vec{r}}^{2}}-\vec{r}\cdot \vec{c}+h=0,\] \[|\vec{c}|>\sqrt{h},\] represents

    A)  circle           

    B)  ellipse

    C)  cone           

    D)  sphere

    Correct Answer: D

    Solution :

    The given equation is \[{{\overrightarrow{r}}^{2}}-2\,\overrightarrow{r}\cdot \overrightarrow{c}+h=0,\]\[|\overrightarrow{c}|\,\,>\sqrt{h}\] This is a equation of sphere in diameter form i.e., \[(\overrightarrow{r}-\overrightarrow{a})\cdot (\overrightarrow{r}-\overrightarrow{b})=0\]


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