11th Class Mathematics Complex Numbers and Quadratic Equations Question Bank Critical Thinking

  • question_answer If z, iz and \[z+iz\] are the vertices of a triangle whose area is 2 units, then the value of \[|z|\] is [RPET 2000]

    A) - 2

    B) 2

    C) 4

    D) 8

    Correct Answer: A

    Solution :

    Area of the triangle \[=\frac{1}{2}|z{{|}^{2}}\] \[\because \,\frac{1}{2}|z{{|}^{2}}=2\] Þ \[|z{{|}^{2}}=4\] Þ \[|z|\,=2\].

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