# Gate ME 2015-3 Question Paper With Solutions

Q. 10 Right triangle PQR is to be constructed in the xy-plane so that the right angle is
at P and line PR is parallel to the x-axis. The coordinates of P, Q and
R are to integers that satisfy the inequalities: . How
many different triangles could be constructed with these properties?

(A) 110

(B) 1,100

(C) 9,900

(D) 10,000