PYQ Vault

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.

  1. Question 1

    CDS 2 2017

    85
    Consider 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.

  2. Question 2

    CDS 1 2018

    78
    Consider 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.

  3. Question 3

    CDS 1 2019

    29
    Which one of the following is correct in respect of a right angled triangle ?

    Tap an option to check your answer.