My Math Forum Straight lines
 User Name Remember Me? Password

 Geometry Geometry Math Forum

 July 13th, 2017, 10:17 PM #1 Newbie   Joined: Jul 2017 From: India Posts: 2 Thanks: 0 Straight lines Hello, I am stuck at these two questions of locus from the topic of straight lines. Q1)A right angled triangle ABC having a right angle at C, CA = b and CB = a, move such that the angular points A and B slide along x- axis and y- axis respectively. Find locus of C. Q2)A variable line L passing through the point B(2,5) intersects the lines 2x² -5xy + 2y² = 0 at P and Q. Find the locus of the point R on L such that distances BP, BR and BQ are in harmonic progression.
July 14th, 2017, 03:38 AM   #2
Newbie

Joined: Jul 2017
From: India

Posts: 2
Thanks: 0

Quote:
 Originally Posted by Anvi Hello, I am stuck at these two questions of locus from the topic of straight lines. Q1)A right angled triangle ABC having a right angle at C, CA = b and CB = a, move such that the angular points A and B slide along x- axis and y- axis respectively. Find locus of C. Q2)A variable line L passing through the point B(2,5) intersects the lines 2x² -5xy + 2y² = 0 at P and Q. Find the locus of the point R on L such that distances BP, BR and BQ are in harmonic progression.
Please tell the answer if you know.

 July 14th, 2017, 04:17 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,966 Thanks: 2216 Q1) I don't understand the description. If A and B move as described arbitrarily, C can be anywhere not on the axes (or C can be where the axes intersect).
July 14th, 2017, 04:25 AM   #4
Senior Member

Joined: Jun 2015
From: England

Posts: 915
Thanks: 271

Quote:
 Originally Posted by skipjack Q1) I don't understand the description. If A and B move as described arbitrarily, C can be anywhere not on the axes (or C can be where the axes intersect).
Yes I agree Q1) is poorly worded so that the only rational answer is the locus is the entire plane.

July 15th, 2017, 04:19 AM   #5
Math Team

Joined: Jan 2015
From: Alabama

Posts: 3,264
Thanks: 902

Quote:
 Originally Posted by Anvi Hello, I am stuck at these two questions of locus from the topic of straight lines. Q1)A right angled triangle ABC having a right angle at C, CA = b and CB = a, move such that the angular points A and B slide along x- axis and y- axis respectively. Find locus of C.
Since the x and y axes are at right angles, one obvious possibility is that C is the single point (0, 0)! But there are infinitely many other possibilities depending on the rates of motion of A and B and on which side of AB C is.

Quote:
 Q2)A variable line L passing through the point B(2,5) intersects the lines 2x² -5xy + 2y² = 0 at P and Q. Find the locus of the point R on L such that distances BP, BR and BQ are in harmonic progression.

 Tags lines, straight

Search tags for this page

,

,

### a variable line l passing through the point b (2 5)

Click on a term to search for related topics.
 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post SLWKXOXO New Users 1 December 1st, 2016 09:05 PM yash0270 Algebra 5 September 4th, 2015 06:35 AM alloy Algebra 1 November 3rd, 2012 02:27 AM alloy Algebra 1 October 30th, 2012 08:56 AM mikeportnoy Algebra 13 December 22nd, 2009 12:45 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2019 My Math Forum. All rights reserved.