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Theorem 2 - The area of a parallelogram is equal to that of a rectangle of the same base and of the same altitude. ABCD is a parallelogram and ABEF is a rectangle. They have common base AB and same height AF (or BE) Corollary Parallelograms having equal bases and equal altitudes..

Let f and g be real valued functions defined on an interval containing c such that exist. Then The following statement is not true. f(x) < g(x) for all x..

To determine the circumcentre of a triangle, it is just sufficient to find the point of intersection of any two perpendicular bisectors of the sides of a triangle.&g..

General solution of cos q = ..

If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogra..

General solution of cos q = ..

(First Derivative Test) Let f (x) be a real valued differentiable function. Let a be a point on an interval I such that f '(a) = 0. (a) a is a local maxima of the function f (x) if i) f (a) = 0 ii) f (x) changes sign from positive to negative as x increases through a. That is, f (x) > 0 for x &l..

The perpendicular bisectors of the sides of a triangle pass through the same point..

The locus of a point equidistant from two intersecting lines is the pair of lines bisecting the angles formed by the given line..

P(A C ) = 1 - P(..