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The Mid-Point Theorem

6. If the cir...

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6. If the circumcenter of an acute-angled triangle lies atthe origin and the centroid is the middle point of theline joining the points (a ^2+ 1, a^{} +1) and (2a, -2a),then find the orthocenter.

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Q. If the circumcenter of an acute-angled triangle lies at the origin and the centroid is the middle point of the line joining the points

(a^{2} + 1, a^{2} + 1)

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Q. If the circumcentre of a triangle lies at the origin and the centroid is the middle point of the line joining the points

(a^{2} + 1, a^{2} + 1)

(2 a, - 2 a)

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Q. A triangle is drawn such that its circumcentre lies at the origin and the centroid is the mid-point of the line joining the points

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Q. The circumcentre of a triangle lies at the origin and its centroid is the mid point of the line segment joining the points

(a^{2} + 1, a^{2} + 1)

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a \neq 0

a

, the orthocentre of this triangle lies on the line :

Q. If the circumcentre of the triangle lies at

(0, 0)

and centroid is middle point of

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