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If {A}{D} is median of {A}{B}{C} and {P} is a point on {A}{C}

Question

If $A D$ is median of $A B C$ and $P$ is a point on $A C$ such that $a r (A D P) : a r (A B D) = 2 : 3,$ then $a r (P D C) : a r (A B C)$ is $1 : 5$ (b) $1 : 5$ (c) $1 : 6$ (d) $3 : 5$

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Theodore Discussed

A D

is median of

A B C

and

P

is a point on

A C

such that

a r (A D P) : a r (A B D) = 2 : 3,

then

a r (P D C) : a r (A B C)

1 : 5

(b)

1 : 5

(c)

1 : 6

(d)

3 : 5

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Question Text

A D

is median of

A B C

and

P

is a point on

A C

such that

a r (A D P) : a r (A B D) = 2 : 3,

then

a r (P D C) : a r (A B C)

1 : 5

(b)

1 : 5

(c)

1 : 6

(d)

3 : 5

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