Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesIntersection of linesMedium2 min

MathematicsMediumsingle choice

$M$ is the mid point of side $A B$ of equilateral triangle $A BC . P$ is a point on $BC$ such that $A P + PM$ is minimum. If $A B = 20$ then $A P + PM$ is

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Answer:

Solution:

Take the reflection of $△ A BC$ in $BC$ .

$PM = PM^{'}$

$P A + PM = P A + P M^{'}$

it is minimum when $M^{'} P A$ lies in a line

Now apply cosine rule in triangle $ABM^{'}$

We will get $AM^{'} = 107$

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Intersection of lines

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