CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 19
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Question 5:
Find the coordinates of the circum-center of a triangle whose vertices are , . Also find its circum-radius.

The Circum-Centre of a Triangle
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Answer:
Let P be the circum-center of , then
On solving equations (i) and (ii),
Circum-radius
Question 6:
If two vertices of an equilateral triangle are Find the third vertex.

Two Vertices of an Equilateral Triangle
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Answer:
Put the value of y in eq. (i),
When
Question 7:
If P and Q are two points whose coordinates are respectively and S is the point show that is independent of .
Answer:
Hence Proved