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☼ System of Linear Equations :
▪ Consistent System : A system consisting of two simultaneous linear equations is said to be consistent, if it has at least one solution.
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☼ Cramer’s Rules ( for homogeneous system ):
If l1 : a1x + b a1y = 0
and l2 : a a2x + b a2y = 0
( Where, ai
☼ The homogeneous equation in two variables : The equation of the form ax + by = 0 ( Where, a, b are real numbers and a2 + b2
☼ Linear Equation in two variables : The equation of the form ax + by + c = 0
( Where, a, b, c are real numbers and a2 + b2
☼ Simple Equations ( Linear Equation in one variable ) : Simple equations are equations which generally have only one variable.
e.g. 2x – 3 = 7
Note : Linear Equation means the equatio…
(1) Find the H.C.F. and L.C.M. of
(i) 8x2 + 2x – 21 and 10x2 – 11x – 6 (ii) 8 ( x3 + x2 + x ) and 28 ( x5 – x2 )
Soln. (i)
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