Right triangle $\mathrm{PQR}$ is to be constructed in the $\mathrm{xy}$ - plane so that the right angle is at $\mathrm{P}$ and line $\mathrm{PR}$ is parallel to the x-axis. The $x$ and y coordinates of $P, Q,$ and $R$ are to be integers that satisfy the inequalities: $-4 \leq \mathrm{x} \leq 5$ and $6 \leq \mathrm{y} \leq 16 .$ How many different triangles could be constructed with these properties?
(A) 110
(B) 1,100
(C) 9,900
(D) 10,000

Question ID - 155693 | Toppr Answer

Right triangle $\mathrm{PQR}$ is to be constructed in the $\mathrm{xy}$ - plane so that the right angle is at $\mathrm{P}$ and line $\mathrm{PR}$ is parallel to the x-axis. The $x$ and y coordinates of $P, Q,$ and $R$ are to be integers that satisfy the inequalities: $-4 \leq \mathrm{x} \leq 5$ and $6 \leq \mathrm{y} \leq 16 .$ How many different triangles could be constructed with these properties?
(A) 110
(B) 1,100
(C) 9,900
(D) 10,000