The following statements concern the modulus. which statement is false? a)the modulus represents the distance between the complex number and the origin. b)the algorithm to find the modulus is based on the pythagorean theorem. c)the modulus is sometimes negative because of the computations with i. d)the modulus is an extension of the absolute value in the complex plane.

we will check each options

option-A:

The modulus represents the distance between the complex number and the origin

we know that modulus is a kind of distance

For example: if we have to find modulus of x+iy

we get

that is also distance between (0,0) and (x,y)

so, this is TRUE

option-B:

It is also similar to Pythagoras theorem

so, this is also TRUE

option-C:

we got modulus formula

we know that value of sqrt can never be negative because it will always result in positive value

so, this is FALSE

option-D:

It is also similar to absolute value

so, this is TRUE

60

step-by-step explanation:

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get