Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

Find the locus of P if PA2 + PB2 = 2k2 where A and B are the points (3,4,5) and (-1,3,-7).
Asked by Topperlearning User | 20 Feb, 2015, 10:30: AM
answered-by-expert Expert Answer

Let P(x,y,z) be the point whose locus is to be found, Now

PA2 + PB2 = 2k2.

(x - 3)2 + (y - 4)2 + (z - 5)2 + (x + 1)2 + (y - 3)2 + (z + 7)2 =2k2

x2 - 6x + 9 + y2 - 8y + 16 + z2 - 10z + 25 + x2 + 2x + 1 + y2 - 6y + 9 + z2 + 14z + 49 = 2k2

2x2 + 2y2 + 2z2 - 4x - 14y + 4z + 109 = 2k2.

Answered by | 20 Feb, 2015, 12:30: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 11-science - Maths
Find the distance between the points P and Q having coordinates (2,3,1) and (-2,4,-1).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Using distance formula prove that the points A(4,-3,-1), B(5,-7,6) and C(3,1,-8) are collinear.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Determine the point in XY - plane which is equidistant from three points A(2,0,3) B(0,3,2) and C(0,0,1).
Asked by Topperlearning User | 13 Nov, 2016, 09:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Verify that the given points are the vertices of an isosceles triangle, A(0,7,-10), B(1,6,-6) and C(4,9,-,6).
Asked by Topperlearning User | 20 May, 2014, 03:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Prove that the points A(1,3,0), B(-5,5,2) C(-9,-1,2) and D(-3,-3,0) are the vertices of a parallelogram. Also show that ABCD is not a rectangle.
Asked by Topperlearning User | 20 Feb, 2015, 10:26: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
If A (-2,2,3) and B(13,-3,13) are two points such that 3PA = 2PB, find the locus of P.
Asked by Topperlearning User | 13 Nov, 2016, 09:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Find the locus of P if PA2 + PB2 = 2k2 where A and B are the points (3,4,5) and (-1,3,-7).
Asked by Topperlearning User | 20 Feb, 2015, 10:30: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Show that A(a,b,c), B(b,c,a) and C(c,a,b) are the vertices of an equilateral triagle.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
F i n d space t h e space c o minus o r d i n a t e s space o f space a space p o i n t space o n space t h e space y minus a x i s space a t space a space d i s tan c e space 5 square root of 2 space f r o m t h e space p o i n t space A left parenthesis 3 comma 2 comma 5 right parenthesis
Asked by Topperlearning User | 13 Nov, 2016, 09:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Find the equation of the set of points P, the sum of whose distances from A (4, 0, 0) and B (-4, 0, 0) is equal to 10?
Asked by Topperlearning User | 20 Feb, 2015, 10:52: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×