A line passing through the point P(4, 2), meets the x-axis and y-axis at A and B respectively. If O is the origin, then locus of the centre of the circum circle of ∆OAB is

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

x-1+y-1=2

2x-1+y-1=1

x-1+2y-1=1

2x-1+2y-1=1

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let the coordinates of A and B be (a, 0) and (0, b) respectively. Then, equation of line AB is xa+yb=1Since, it passes through the point P(4, 2)∴4a+2b=1 -----(1)Now, centre of the circumcircle of ∆OAB=a2,b2So, Eq. (1) can be written in the form 2a/2+1b/2=1∴locus of circumcentre is 2x+1y=1 or 2x-1+y-1=1

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th