Previous Year Questions

Ajay and Vijay scheduled their meeting on Friday in a cafe. They both took different routes to reach the cafe.

From point A, Ajay moved 17 m towards the north-east to reach point B.

He then turned 8 m towards the south to reach point C. Point C is situated towards the west of the cafe. Point A lies to the west of C.

From point P, Vijay walked 17 m in the north-west direction to reach point Q. By walking 16 m towards the south from point Q, he reached point R.

Point S is 5 m to the west of point R. From point S, he again walked 8 m towards the north to reach the cafe.

The distance between points C and P is 30 m. Point P is situated towards the east of the cafe.

Let horizontal distance between P and Q be x m.

So, the distance between cafe and point P is (x+5) m.

By using Pythagoras theorem, 8² + x² = 17²

x = 15.

And the distance between C and cafe = 30 m - (x + 5) m = 10 m.

By using the Pythagoras theorem,

So, the shortest distance between points C and Q is 17 m.