The lines ax+2y+1=0, bx+3y+1=0 and cx+4y+1=0 are concurrent if a, b, c are in G.P. ??


Question and Answers Forum

All Questions Topic List
None Questions
Previous in All Question Next in All Question
Previous in None Next in None
Question Number 76245 by vishalbhardwaj last updated on 25/Dec/19

$The lines a x + 2 y + 1 = 0, b x + 3 y + 1 = 0$ $and c x + 4 y + 1 = 0 are concurrent$ $if a, b, c are in G . P . ? ?$
	Answered by MJS last updated on 25/Dec/19

	$no, they are parallel if a = 2 k \land b = 3 k \land c = 4 k$ $2 k x + 2 y + 1 = 0 \Leftrightarrow k x + y + \frac{1}{2} = 0$ $3 k x + 3 y + 1 = 0 \Leftrightarrow k x + y + \frac{1}{3} = 0$ $4 k x + 4 y + 1 = 0 \Leftrightarrow k x + y + \frac{1}{4} = 0$ $since the constant factors are never the$ $same the lines are never concurrent$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum