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Qn #1957
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Let $M$ be a point inside the triangle $ABC$. Then which one of the following is true?
A.
$AB+AC
2
$AB+AC>MB+MC$
3
$AB+AC\le MB+MC$
4
None of these
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NIMCET Previous Year PYQ
NIMCET NIMCET 2008 PYQ
Solution
By triangle inequality in $\triangle ABM$ and $\triangle ACM$, $AB>MB-AM,\ AC>MC-AM$ Adding, $AB+AC>MB+MC$ Answer: $\boxed{AB+AC>MB+MC}$
B.
$AB+AC>MB+MC$
C.
$AB+AC\le MB+MC$
D.
None of these
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Qn #1841
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$ABC$ 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:
A.
$m_1m_2 = -1$
B.
$m_1 + m_2 = 0$
C.
$m_1m_2 = 2$
D.
$(m_1 + m_2)^2 + 2m_1m_2 = 0$
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Properties of Triangles Practice Questions | Group Studies Library | Tancet Group Studies