# GATE Mechanical 2015 Set 3 | GA Question: 9

Right triangle $PQR$ is to be constructed in $xy$-plane so that the right angle is at $P$ and line $PR$ is parallel to $x$-axis.The $x$ and $y$ coordinates of $P$, $Q$ and $R$ are to be integers that satisfies the inequalities: $-4\leq x\leq 5$ and $6\leq y\leq 16$. How many different triangles could be constructed with these properties?

1. $110$
2. $1100$
3. $9900$
4. $10000$

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