JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Critical Thinking

  • question_answer
    In a \[\Delta ABC,\]if \[a=2x,\]\[b=2y\]and \[\angle C=120{}^\circ \], then the area of the triangle is [MP PET 1986, 2002]

    A) \[xy\]

    B) \[xy\sqrt{3}\]

    C) \[3xy\]

    D) \[2xy\]

    Correct Answer: B

    Solution :

    \[\Delta =\frac{1}{2}ab\sin C=\frac{1}{2}\times 2x\times 2y\times \frac{\sqrt{3}}{2}=xy\sqrt{3}\].


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