Q.

A point (x,y) is at a distance of 5 units from the origin. How many such points lie in the third quadrant

1 0  
2 1  
3 2  
4 Infinitely many  

Ans.

(4)

Point is on the circle with centre (0,0) and radius 5 units.
So, there are infinitely many points (lying on circumference) in third quadrant.