The medians AA1 and BB1 of the triangle ABC where A≡(0,a),B≡(b,0),C≡(0,0) are mutually perpendicular then:

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2a=b

b=2a

a=b

None

answer is D.

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Detailed Solution

Slope of AA1=0-ab2-0=−2ab ,Slope of BB1=−a2b .AA1⊥BB1⇒(−2ab)×(−a2b)=−1⇒a2+b2=0 . Which is not possible.

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