IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry

shailesh_45

find the locus of the point at which the line segment joining the points (

,

) and (

,

) subtends a right angle

mukulss

hello shailesh,,,,,

i think this question is pretty simple but a bit lengthy.........

consider a point Z (h,k) which is variable and u have to find out its locus......

now,
A(a,b) and B(c,d) are given.....

now simply write a eqn using pythagoras theorem,,,,,,:

atavistic

Easy.Let the point be h,k. Now find equation of line passing through (alpha,beta) and (gamma,delta).Multiply both these equations to get the equation of a pair of straight lines.These lines are 90 degree to each other so coeffecient of x^2 + coefficient of y^2 =0. Put that and get answer.

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