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Geometric Centres of triangle || Quantitative Aptitude || CAT 2021 || 26 May
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Question 1
The circumcentre of a right-angled triangle lies.
Question 2
If distance between orthocentre and circumcentre of a triangle is 6 cm then what is the distance between its centroid and circumcentre ?
Question 3
For the next three (3) items that follow :
Consider the triangle ABC with vertices A(-2, 3), B(2, 1) and C(1, 2).
What is the circumcentre of the triangle ABC?
Question 4
Circumcentre of which type of triangle lies outside the triangle.
Question 5
O is the incentre of ∆ABC and ∠BOC = 110o. Find ∠BAC.
Question 6
Centroid of a triangle divides its median in the ratio of:
Question 7
If the orthocenter and the centroid of a triangle are the same, then the triangle is:
Question 8
If in a triangle, the circumcentre, incentre, centroid and orthocentre coincide, then the triangle is
Question 9
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?
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?
Question 10
The orthocentre of an obtuse-angled triangle lies
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