Right triangle PQR is to be constructed in the xy - plane so that the right…

GATE · 2015 · ME · Set 3 · General Aptitude

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 x and y coordinates of P, Q, and R are to be integers that satisfy the

inequalities: −4 ≤ x ≤ 5 and 6 ≤ y ≤ 16. How many different triangles could be constructed with

these properties?

  1. A.

    110

  2. B.

    1,100

  3. C.

    9,900

  4. D.

    10,000

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