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

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

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