# 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.

**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