Theorem 2
General solution of cos q = ..
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 are equal in area. A diagonal b..
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 are equal in area. A diagonal b..Theorem 2
\ s r q Hence the magnitude of an angle in circular measu..
\ s r q Hence the magnitude of an angle in circular measu..Midpoint Theorem Summary
Summary - Midpoint Theorem The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. Converse of mid point theorem - The straight line drawn through the mid point of one side of a triangle, ..
Theorems of Probability
1. Addition Rule of Probability: If A and B are any two events, then 2. P(A C ) = 1 - P(A). 3. P( f ) = ..
1. Addition Rule of Probability: If A and B are any two events, then 2. P(A C ) = 1 - P(A). 3. P( f ) = ..Lami's Theorem
Lami's Theorem - If three concurrent forces acting on a body keep it in equilibrium, then each force is proportional to the sine of angle between the other two forces. Þ If three concurrent forces keep a body A in equilibrium, the 3 forces must be coplana..
Lami's Theorem - If three concurrent forces acting on a body keep it in equilibrium, then each force is proportional to the sine of angle between the other two forces. Þ If three concurrent forces keep a body A in equilibrium, the 3 forces must be coplana..Binomial Theorem
Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systematical manner in terms of combinatorial coefficients. The above expression suggest..
Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systematical manner in terms of combinatorial coefficients. The above expression suggest..Theorem 3
General solution of tan q = k - Let a be the least positive angle, such that tan a = k . tan q = tan a . Also tan ( p + a ) = tan a = k. q = a or p + a = any other co-terminal angle q = a , 2 p + a , 4 p + a , . . . . . , p + 2 p + ( p + a ) . . ...
Bernoulli's Theorem
This theorem is a consequence of the principle of conservation of energy, applied to ideal liquids in motion. The theorem states that: For the streamline flow of an ideal liquid, the total energy (sum of pressure energy, potential energy and kinetic energy) per unit mass remains..
This theorem is a consequence of the principle of conservation of energy, applied to ideal liquids in motion. The theorem states that: For the streamline flow of an ideal liquid, the total energy (sum of pressure energy, potential energy and kinetic energy) per unit mass remains..Baye's theorem:
Let S be the simple space and E 1 , E 2 , E 3 ,….,E n be n mutually exclusive and exhaustive events associated with a random experiment. If A is any arbitrary event then ..
Let S be the simple space and E 1 , E 2 , E 3 ,….,E n be n mutually exclusive and exhaustive events associated with a random experiment. If A is any arbitrary event then .. Result
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