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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
$ABC$ is isosceles with $AB = AC$.
$BC$ is parallel to x-axis.
$m_1, m_2$ are slopes of the medians from $B$ and $C$.
Then:
Solution
Let coordinates: $B(-a, 0)$ $C(a, 0)$ $A(0, h)$ Median from $B$ goes to midpoint of $AC$: $(0, h/2)$
Slope: $m_1 = \dfrac{h/2 - 0}{0 - (-a)} = \dfrac{h}{2a}$
Median from $C$ goes to midpoint of $AB$: $(0, h/2)$
Slope: $m_2 = \dfrac{h/2 - 0}{0 - a} = -\dfrac{h}{2a}$
Thus:
$m_1 + m_2 = 0$
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