JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Medium

1 of 1

Application +4 | -1

The medians

A D

and

B E

of a triangle with vertices at

A(0, b), B(0,0)

and

C(a, 0)

are perpendicular to each other if

View answer and explanation

Correct option: D

\mathrm{a}= \pm \sqrt{2} \mathrm{~b}

Option D (

\mathrm{a}= \pm \sqrt{2} \mathrm{~b}

) is correct because it represents the condition where the slopes of the medians AD and BE are perpendicular, leading to the equation

a^2 = 2b^2

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\alpha

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