In a parallelogram PQRS, X is the mid point of PS and Y is the mid point of QR, then XY divides QS in the ratio of

1 : 4

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1 : 1

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1 : 2

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1 : 3

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Solution

The correct option is B $1 : 1$
Suppose XY and diagonal QS intersect each other at point O.
Since X and Y are the midpoints of PS and QR. This means XY is parallel to PQ.
Now in triangle PQS, XO is parallel to PQ And X is midpoint of PS. By applying midpoint theorem on triangle PQS, O becomes midpoint of QS.
So, XY devides QS in the ration 1:1.
So, correct answer is option B.

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