Mid - Point Theorem
Mid - Point Theorem - The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. P, Q are the mid-points of the sides AB, and AC of (i) PQ || BC (ii) Draw CR || BA to meet PQ produced at ..
Mid - Point Theorem - The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. P, Q are the mid-points of the sides AB, and AC of (i) PQ || BC (ii) Draw CR || BA to meet PQ produced at ..Basic Proportionality Theorem
Basic Proportionality Theorem - A line parallel to one side of a triangle divides the other two sides into parts of equal proportion. In triangle ABC, a line drawn parallel to BC cuts AB and AC at P and Q respectively. Let the point P divide AB in the ratio of l: m where l and m..
Basic Proportionality Theorem - A line parallel to one side of a triangle divides the other two sides into parts of equal proportion. In triangle ABC, a line drawn parallel to BC cuts AB and AC at P and Q respectively. Let the point P divide AB in the ratio of l: m where l and m..Basic Proportionlity Theorem
A line parallel to one side of a triangle divides the other two sides into parts of equal proportio..
Applications of Binomial Theorem
Some Applications of Binomial Theorem for Fractional Index - If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1..
Some Applications of Binomial Theorem for Fractional Index - If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1..Parallelograms Converse of Theorem 7
Statement - A straight line drawn through the mid-point of one side and parallel to another side of a triangle bisects the third sid..
Statement - A straight line drawn through the mid-point of one side and parallel to another side of a triangle bisects the third sid..Parallelograms Theorem 8
Statement - If there are three or more parallel lines and the intercepts made by them on one transversal are equal, the corresponding intercepts of any transversal are also equa..
Statement - If there are three or more parallel lines and the intercepts made by them on one transversal are equal, the corresponding intercepts of any transversal are also equa..Loci and Concurrency Theorems
Sometimes it is necessary in geometry to specify the location of all points satisfying one or more conditions. For example, location of set of points equidistant from two given points, location of set of points equidistant from a given point etc. This is done by considering a set of..
Binomial Theorem for Fractional Index
Binomial Theorem for Fractional Index - For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides with that as given earlier. Let..
Binomial Theorem for Fractional Index - For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides with that as given earlier. Let..Theorem 5(a):
If B is a Boolean algebra, for any x, y in B, then 0' = 1..
Binomial Theorem for Fractional Index
For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides with that as given earlier. Let n N and |x|<1, then we ha..
For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides with that as given earlier. Let n N and |x|<1, then we ha..See what our Users say :
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