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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: complex numbers question.
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konichiwa2x (2366)

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A,B and C are points represented by complex numbers respectively. If the circumcentre of the triangle ABC lies at the origin and the altitude AD of the triangle meets circumcircle again at P, then P represents the complex number

(A)
(B)
(C)
(D) none of these.

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joyfrancis (1504)

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take points a,b,c as 1,0 , 0,-1 and 0,1
automatically point P comes as -1,0.
so the answer is a.

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debangshu (0)

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P LIES ON THE CIRCUMCIRCLE, DIAMETRICALLY OPPOSITE TOA(Z1).HENCE ,IT IS THE RE4FLECTION OF A ABOUT ORIGIN .THUS, IF Z1=X+iY,THEN, P=-X-iY.HENCE, P IS GIVEN BY -Z1.CORRECT OPTION IS NONE OF THESE.
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