1thnk u ???????////
can answer my second question
IF THERE IS A QUADRATIC EQUATION WITH COMPLEX COEFFICIENTS THAN IS THERE ANY METHOD FOR REPRESENTING SUCH A EQUATION ON ARGAND PLANE?????? LIKE WE CAN REPRESENT UADRATIC WITH REAL COEFFECIENTS AS PARABOLA ON REAL PLANE.......
PLZZZZZ ALSO HELP TO CLEAR MY CONCEPT ABOUT COMPLEX SLOPE OF LINE
AS TO WHT IT GEOMETRICALLY MEANS
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2 Answers
1A quadratic eqn with complex coefficients would give a 3-D graph.......... which does not fit into the Argand plane..........
But if U want to make a graph in 2-D, U can picture it by taking it on two planes x-z, and y-z ...
U can do this by breaking the coefficients to pure real and pure imaginary parts........
eg. (a1+ia2)z2+(b1+ib2)z+(c1+ic2)=0
can be written as (a1z2+b1z+c1)+i(a2z2+b2z+c2)=0
Neither of these graphs, truly represents the function, but when U add the two, considering their dimensions, U get the real graph, this cannot be obtained on a plane.
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