Null Matrix or Zero Matrix
A matrix of order m x n whose elements are all 0 is called a null matrix (or zero matrix) of order m x n. It is usually denoted by O or more clearly [O] m , n..
Argand diagram of the qth roots of a Complex number
All the q-th roots of z lie on a circle centred at the origin O and having radius equal to the real, positive q t h root of r. One of them has amplitude q /q and others are uniformly spaced around the circle separated from others by an angle 2p ..
Geometrical Representation of Complex Number
Geometrical representation of a Complex number, Argand diagram - Since every complex number z = x + iy is an order pair of real numbers (x, y), it can therefore be represented by a point P(x,y) in the xy plane by taking the real part along the x-axis and the imaginary ..
Geometrical representation of a Complex number, Argand diagram - Since every complex number z = x + iy is an order pair of real numbers (x, y), it can therefore be represented by a point P(x,y) in the xy plane by taking the real part along the x-axis and the imaginary ..Question 1
Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Kerala..
Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Kerala..Simplification of fractions
Remember 'BODMAS', Do the various operations in the order given below: Open brackets from within and go outwards in the order: -, (), {} and lastly []. B 1 Brackets O 2 Of D 3 Division M 4 Multiplication A 5 Addition S 6 Subtracti..
Some properties of Addition and Subtraction of Matrices
Some properties of Addition and Subtraction of Matrices - (1) A + B = B + A (Commutative property) (2) k(A + B) = kA + kB (Distributive property) (3) (A + B) + C = A + B + C (Distributive property) (4) (A + B) + C = A + (B + C) (Associative property) A + O = O + A = A where ..
Discovery of Neutrons
The whole mass of an atom is due to the nucleus, which means that the nucleus must contain protons equal to the mass of the atom. As the number of protons is equal to the atomic number, the atomic mass should be equal to the atomic number. But for all atoms except hyd..
Nuclear Stability and Neutron/Proton Ratio
Nuclear Stability and Neutron/Proton Ratio - It has been found that the stability of nucleus depends upon its neutron to proton (n/p) ratio. A plot of N (the neutron number) against Z (atomic number or number of protons) show that for stab..
Nuclear Stability and Neutron/Proton Ratio - It has been found that the stability of nucleus depends upon its neutron to proton (n/p) ratio. A plot of N (the neutron number) against Z (atomic number or number of protons) show that for stab..(i) The secondary neutrons can be made to escape out of the system.
(ii) The neutrons can be absorbed by substances which are not fissionable. Rods of boron or cadmium have the ability to absorb the desired number of neutrons. This ensures limited number of neutrons to be available for fission. (iii) The speed of t..
Which of these numbers does the point O represent on the number line?
Which of these numbers does the point O represent on the number line? => - 6 or - 4 or - 5 or - 3..
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