﻿ Find the circumcentre of the triangle whose vertices are (–2, –3), (–1, 0) and (7, –6). Also find the radius of the circumcircle. : Kaysons Education

# Find The Circumcentre Of The Triangle Whose Vertices Are (–2, –3), (–1, 0) And (7, –6). Also Find The Radius Of The Circumcircle.

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## Question

### Solution

Correct option is

5 units

Let A ≡ (–2, –3), B ≡ (–1, 0) and C ≡ (7, –6). Let P ≡ (xy) be the circumcentre of âˆ†ABC.

Since P is the circumcentre

Taking first two numbers, we get

and taking 1st and last member then, we get

Solving (i) and (ii), we get

Hence circumcentre is (3, –3).

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#### SIMILAR QUESTIONS

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Q2

Find the cartesian co-ordinates of the points whose polar coordinates are

Q3

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Q4

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Q5

Transform the equation  into cartesian form.

Q6

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Q7

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Q10

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