Question : The orthocentre of a triangle lies on one of the sides. Then:
Option 1: The orthocentre lies on a vertex
Option 2: Circumcentre lies outside the triangle
Option 3: Circumcentre lies on the same side
Option 4: Centroid coincides with orthocentre
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Correct Answer: The orthocentre lies on a vertex
Solution : If the orthocentre of a triangle lies on the side, then it lies on the vertex. Hence, the correct answer is 'The orthocentre lies on a vertex.'
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Question : The orthocentre of an obtuse-angled triangle lies:
Option 1: Inside the triangle
Option 2: Outside the triangle
Option 3: On one side of a triangle
Option 4: None of these
Question : A point $p$ lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its:
Option 1: Centroid
Option 2: Incentre
Option 3: Orthocentre
Option 4: Circumcentre
Question : The point equidistant from the vertices of a triangle is called its:
Option 1: Incentre
Option 2: Circumcentre
Option 4: Centroid
Question : The point where all three medians of a triangle meet is called:
Option 3: Circumcentre
Option 4: Orthocentre
Question : In an isosceles triangle, if the vertex angle is twice the sum of the base angle, then the measure of the half of the vertex angle of the triangle is:
Option 1: 60
Option 2: 70
Option 3: 80
Option 4: 50
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