Problem Solving MCQ Set 10

Question: Which of the following is inCorrect?

1. An incentre is a point where the angle bisectors meet.
2. The median of any side of a triangle bisects the side at right angle.
3. The point at which the three altitudes of a triangle meet is the orthocentre
4. The point at which the three perpendicular bisectors meet is the centre of the circumcircle.

Question: A and B are two points with the co-ordinates (-2, 0) and (0, 5). What is the length of the diagonal AC if AB form one of the sides of the square ABCD?

1. units
2. units
3. units
4. units

Question: What is the measure of the circum radius of a triangle whose sides are 9, 40 and 41?

1. 6
2. 4
3. 24.5
4. 20.5

Question: If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?

1. 10 sides
2. 8 sides
3. 12 sides
4. 9 sides

Question: If ABC is a right angle triangle with angle A = 900 and 2s = a + b + c, where a > b > c where notations have their usual meanings, then which one of the following is Correct?

1. (s - b) (s - c) > s (s - a)
2. (s - a) (s - c) > s (s - b)
3. (s - a) (s - b) < s (s - c)
4. 4s (s - a) (s - b) (s - c) = bc

Question: What is the measure of in radius of the triangle whose sides are 24, 7 and 25?

1. 12.5
2. 3
3. 6
4. None of these