JEE Main & Advanced Mathematics Definite Integration Question Bank Area Bounded by Region, Volume and Surface Area of Solids of Revolution

  • question_answer Area bounded by lines \[y=2+x,\] \[y=2-x\] and \[x=2\] is                                                                       [MP PET 1996]

    A)            3    

    B)            4

    C)            8    

    D)            16

    Correct Answer: B

    Solution :

                       Obviously, triangle ACB is right angled at C.            \ Required area \[=\frac{1}{2}\times AC\times BC\]                                                               \[=\frac{1}{2}\times 2\sqrt{2}\times 2\sqrt{2}=4\]sq. unit.

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