Where the orthocentre, centroid or circumcentre lies (inside, on or outside)
This type of question, asked 3 times: CDS 2 2017, CDS 1 2018, CDS 1 2019. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2017
85Consider the following statements : 1. The point of intersection of the perpendicular bisectors of the sides of a triangle may lie outside the triangle. 2. The point of intersection of the perpendiculars drawn from the vertices to the opposite sides of a triangle may lie on two sides. Which of the above statements is/are correct ?Tap an option to check your answer.
Question 2
CDS 1 2018
78Consider the following statements : 1. The orthocentre of a triangle always lies inside the triangle. 2. The centroid of a triangle always lies inside the triangle. 3. The orthocentre of a right angled triangle lies on the triangle. 4. The centroid of a right angled triangle lies on the triangle. Which of the above statements are correct ?Tap an option to check your answer.
Question 3
CDS 1 2019
29Which one of the following is correct in respect of a right angled triangle ?Tap an option to check your answer.