The circumcentre of the triangle with vertices $(0, 0), (3, 0)$ and $(0, 4)$ is?

(1, 1)

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(2, 3 / 2)

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(3 / 2, 2)

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None of these

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Solution

The correct option is C $(3 / 2, 2)$
R.E.F image
The given coordinates
represent a right
angled triangle
In a Rt $△$ , mid-pt
of hypotenuse is
given circumcentre
$∴ 0 \equiv (\frac{3}{2}, 2)$

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Similar questions

Q. The circumcentre of the triangle with vertices

(0, 0), (3, 0)

and

(0, 4)

Q. The circumcentre of the triangle having vertices as A(0,0), B(0,3) and C(4,0) is

The distance between the orthocentre and circumcentre of the triangle with vertices $(1, 2) (2, 1)$ and $(\frac{3 + \sqrt{3}}{2}, \frac{3 + \sqrt{3}}{2})$ is

Q. The distance between the orthocentre and circumcentre of the triangle with vertices
(1, 2), (2, 1) and

(\frac{3 + \sqrt{3}}{2}, \frac{3 + \sqrt{3}}{2})

is
(a) 0
(b)

\sqrt{2}

(c)

3 + \sqrt{3}

(d) none of these

Q. The vertices of triangle are

A (I, 2), B (2, I)

C (\frac{3 + \sqrt{3}}{2}, \frac{3 + \sqrt{3}}{2})

then distance between orthocentre & circumcentre is?

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The circumcentre of the triangle with vertices (0,0),(3,0) and (0,4) is?

The correct option is C (3/2,2)R.E.F image The given coordinates represent a rightangled triangleIn a Rt △, mid-ptof hypotenuse is given circumcentre ∴0≡(32,2)

The circumcentre of the triangle with vertices $(0, 0), (3, 0)$ and $(0, 4)$ is?

The correct option is C $(3 / 2, 2)$
R.E.F image
The given coordinates
represent a right
angled triangle
In a Rt $△$ , mid-pt
of hypotenuse is
given circumcentre
$∴ 0 \equiv (\frac{3}{2}, 2)$