Question

if non zero numbers a b c are in harmonic progression then show that x/a + y/b + 1/c= 0 represent a family of concurrent lines and find point of concurrence

Answer 1

Answer:

           GIVEN

The non - zero numbers a,b,c are in harmonic progression

TO DETERMINE

The point of concurrency for the equation

represents a family of concurrent lines

EVALUATION

Here it is given that the non - zero numbers a,b,c are in harmonic progression

Again the equation of the line is

Comparing we get x = 1 & y = - 2

Hence the required point of concurrency =

( 1, - 2)