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:
 
July 14th, 2017, 04:17 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,633 Thanks: 2080 
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  
July 15th, 2017, 04:19 AM  #5  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902  Quote:
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A variable line L passing through the point B(2,5) intersect the line 2x²5xy 2y² =0 a P and Q find the locus of the point R on L such that distance,a variable line passing through the point B(2,5) intersect the line,a variable line l passing through the point b (2 5)
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