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1. Question 1: Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?
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2. Question 2: What is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between two sides is 150⁰?
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3. Question 3: What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?
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4. Question 4: If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?
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5. Question 5: What is the radius of the incircle of the triangle whose sides measure 5, 12 and 13 units?
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6. Question 6: How many diagonals does a 63-sided convex polygon have?
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7. Question 7: If 10, 12 and 'x' are sides of an acute angled triangle, how many integer values of 'x' are possible?
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8. Question 8: Is triangle ABC obtuse angled?
   (1)    a² + b² > c²
   (2)    The center of the circle circumscribing the triangle does not lie inside the triangle.
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9. Question 9: Is triangle ABC with sides a, b and c acute angled?
   (1)    Triangle with sides a², b², c² has an area of 140 sq cms.
   (2)    Median AD to side BC is equal to altitude AE to side BC.
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