# CBSE Class 10-Mathematics: Chapter – 7 Coordinate Geometry Part 19 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 5**:

Find the coordinates of the circum-center of a triangle whose vertices are , . Also find its circum-radius.

**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.

**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