Let ABCD be a parallelogram Let P Q R and S be the mid points of sides AB BC CD and DA respectively...........

Quantitative Aptitude ( CCS) Geometry

Let ABCD be a parallelogram. Let P, Q, R and S be the mid-points of sides AB, BC, CD and DA respectively. Consider the following statements.

I. Area of triangle APS < Area of triangle DSR, if BD < AC.

II. Area of triangle ABC = 4 (Area of triangle BPQ).

Select the correct answer using the codes given below.

Only I

Only II

Both I and II

Neither I nor II

Area of ΔAPS = Area of ΔDSR

? AS = SD and AP = DR
∴ ar (ΔABC) = 4 ar (ΔBPQ).

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