Question Bank - Mathematics

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Find the mirror image of point representing \(\rm {\sqrt{27}} + i \rm {\sqrt{53}}\) on imaginary axis.

A.
\((-\rm {\sqrt{27}} , -\rm {\sqrt{53}})\)
B.
\((\rm {\sqrt{27}} , -\rm {\sqrt{53}})\)
C.
\( (-\rm {\sqrt{27}} , \rm {\sqrt{53}})\)
D.
\((\rm {\sqrt{27}} , \rm {\sqrt{53}})\)

Solution:

Explanation:Mirror image of point \((\rm {\sqrt{27}} , \rm {\sqrt{53}}) \)on imaginary axis is \((-\rm {\sqrt{27}} , \rm {\sqrt{53}}).\)Since imaginary axis is acting as mirror y-coordinate remains same whereas x-coordinate gets inverted.So,\((-\rm {\sqrt{27}} , \rm {\sqrt{53}}).\) is mirror image of \((\rm {\sqrt{27}} , \rm {\sqrt{53}})\) on imaginary axis.

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