*Binomial expansion
*Binomial expansion Neglecting the terms containing higher power of x we can write (1 + x)n ≈ 1 + n x
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*Determinants of 3rd order
*Determinants of 3rd order
*Cramer’s rule For two simultaneous equations, a1 x + b1 y = c1 & a2 x + b2 y = c2
*Cramer’s rule For two simultaneous equations, a1 x + b1 y = c1 & a2 x + b2 y = c2
*Quadratic equation ax2 + bx + c = 0 (a, b & c ε R with a ≠ 0) b 2 – 4 a c = D (discriminate)
*Quadratic equation ax2 + bx + c = 0 (a, b & c ε R with a ≠ 0) b 2 – 4 a c = D (discriminate) Roots of quadratic are The following 6 situations may arise. If D > 0, then roots are real & unequal. If D < 0, then roots are […]
>Laws of exponents
>Laws of exponents
*Componendo & dividendo
*Componendo & dividendo
*Arithmetic operations
*Arithmetic operations
*Slope of a straight line
*Slope of a straight line Slope (symbol, m) of a straight line is defined as the tan of the anticlock wise angle made by that line with the positive horizontal axis. i.e. m = tan θ As tan θ can have any real value, so we can say Slope […]
*Harmonic functions
*Harmonic function Functions which are periodic as well as bounded are called harmonic functions sinθ & cosθ are harmonic.
*Bounded functions
*Bounded functions If a function attains finite values only, then it is said to be bounded otherwise unbounded. Only sinθ & cosθ are bounded functions, secθ, cosθ, tanθ & cotθ are unbounded.
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