Question

what is centroid, orthocentre, circumcentre, incentre and locus???? 

Answer 1

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✔✔ centroid-a plane figure or two-dimensional shape X is the intersection of all straight lines that divide X into two parts of equal moment about the line. In physics, the word centroid may mean the geometric center of the object's shape, as above; or its physical center of mass or the center of gravity, depending on the context.

✔✔ orthocentre-The three altitudes intersect in a single point, called the orthocenter of the triangle. The orthocenter lies inside the triangle (and consequently the feet of the altitudes all fall on the triangle) if and only if the triangle is not obtuse (i.e. does not have an angle greater than a right angle).

✔✔ circumcentre-In geometry, the circumscribed circle or circumcircleof a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the circumcenter.

✔✔ locus-a locus (Latin for "place", plural loci) is a collection of pointswhich share a property.

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Answer 2

Centroid :-The centre of mass of a geometric object of uniform density.

ortho centre -:It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle.

Circumcentre -:The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.

Incentre-:The incenter is the point of intersection of the three angle bisectors.

locus-:A curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.

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