If the centroid and circum centre of a triangle are (3,3) and (6,2) respectively then the orthocentre is

Question

If the centroid and circum centre of a triangle are (3,3) and (6,2) respectively then the orthocentre is (A) (-3,5) (B) (-3,1) (C) (3,-1) (D) (9,5)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/ce95f97d948f90886e4df20fc4531d70-.png" /> (12+α/3) ⇒ α=-3 (4+β/3)=3 ⇒ β=5

Q. If the centroid and circum centre of a triangle are $(3, 3)$ and $(6, 2)$ respectively then the orthocentre is

$(- 3, 5)$

$(- 3, 1)$

$(3, - 1)$

$(9, 5)$

$\frac{12 + α}{3} \Rightarrow α = - 3$
$\frac{4 + β}{3} = 3 \Rightarrow β = 5$

Q. If the centroid and circum centre of a triangle are (3,3) and (6,2) respectively then the orthocentre is

(−3,5)

(−3,1)

(3,−1)

(9,5)