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  4. The circum-centre and the ortho-centre of the triangle formed by the sides y=0, x=0 and 2 x+3 y=6 are respectively

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Q. The circum-centre and the ortho-centre of the triangle formed by the sides $y=0, x=0$ and $2 x+3 y=6$ are respectively

Coordinate Geometry

Solution:

Clearly the given lines forms a right triangle. In a right triangle circum-centre is the mid point of hypotenuse and ortho-centre is the vertex containing $90^{\circ}$.