\overrightarrow{AB} = a^{\to} and \overrightarrow{AC} = b^{\to} are the sides of a Δ ABC. P is a point on \overrightarrow{AB} and Q is a point on \overrightarrow{BC} such that \frac{AP}{PB} = 1/2 and \frac{BQ}{QC} = 1/2. If the point of intersection of \overrightarrow{AQ} and \overrightarrow{CP} is D and the area of Δ BCD is 7 square units , then the area of the Δ ABC (in the same sq. units)

AP EAMCET Engineering 23 Apr 2019 Shift 1 Paper

Section: Mathematics

Question : 32 of 160

Marks: +1, -0

→

and

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are the sides of a Δ ABC. P is a point on

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and Q is a point on

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such that

and

. If the point of intersection of

→

and

→

is D and the area of Δ BCD is 7 square units , then the area of the Δ ABC (in the same sq. units)

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