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

Question

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 (A) (3,2),(0,0) (B) ((3/2), 1),(0,0) (C) (-3,1),(0,0) (D) (-(3/2), 1),(0,0)

Tardigrade Admin · Accepted Answer

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°.

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

$(3, 2), (0, 0)$

$(\frac{3}{2}, 1), (0, 0)$

$(- 3, 1), (0, 0)$

$(- \frac{3}{2}, 1), (0, 0)$

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 $9 0^{\circ}$ .

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

(3,2),(0,0)

(23​,1),(0,0)

(−3,1),(0,0)

(−23​,1),(0,0)