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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


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: Circumcentre


Solution : Given:
A point $p$ lying inside a triangle is equidistant from the vertices of the triangle.
So, $p$ is called the circumcentre of the triangle.
Since with $p$ as a center, a circle can be drawn, which passes through the three vertices of the triangle and it is known as a circumcircle.
Hence, the correct answer is 'Circumcentre'.

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