CIRCUMCIRCLE AND CIRCUMCENTRE,ORTHOCENTRE AND CENTROID

(3,2),(-4,1) and (-5,8) are vertices of triangle then select the CORRECT alternative/s orthocentre is (4,1) orthocentre is (-4,1) circumcentre is (-1,5) circumcentre is (3,2)

If S is the circumcentre, G the centroid, O the orthocentre of Delta ABC, then vec(S)A + vec(S)B + vec(S)C =

Assertion: If coordinates of the centroid and circumcentre oif a triangle are known, coordinates of its orthocentre can be found., Reason: Centroid, orthocentre and circumcentre of a triangle are collinear. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: If coordinates of the centroid and circumcentre oif a triangle are known, coordinates of its orthocentre can be found., Reason: Centroid, orthocentre and circumcentre of a triangle are collinear. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

If O is the circumcentre,G is the centroid and O' is orthocentre or triangle ABC then prove that: vec OA+vec OB+vec OC=vec OO

If S is the circumcentre,O is the orthocentre of Delta ABC, then bar(SA)+( O is the orthocentre )/(SC) equals

Statement I : If centroid and circumcentre of a triangle are known its orthocentre can be found Statement II : Centroid, orthocentre and circumcentre of a triangle are collinear.

Statement I : If centroid and circumcentre of a triangle are known its orthocentre can be found Statement II : Centroid, orthocentre and circumcentre of a triangle are collinear.

Statement I : If centroid and circumcentre of a triangle are known its orthocentre can be found Statement II : Centroid, orthocentre and circumcentre of a triangle are collinear.