1mathie in the soln provided the eqn of polar wrt the given pt is found n tthen inverse is calculated bt i dunno i ve never heard about it so i doubt the soln
the inverse of point (1,2) wrt to circle x2+y2-4x -6y +9=0 is?
(1,1/2)
(0,1)
(1,0)()
(2,1)
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19 Answers
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39@ richa : i have never heard of inverse point with respect to any general conic ! i have heard about it only in case of a circle.
and with respect to a circle with centre O and radius R , two points P and Q are said to be inverse points if OP.OQ =R2
1"new terminology??"
I think it is the image of the point wrt the line paerpendicular to the line joinin the point to its centre or focus...... ie focus or centre will b the mid poine... i guess it , btr any one perfect in max has to answer
1manas i din get d ans n i m cnfused agin u sure p p`=r2 n plzz do tell me wat does being inverse wrt aconic mean
1
hey see the point p` is the inverse of the P wrt to the circle and now the relation is
P x P`=r2
Where r is the raius of the circle and then i hope u can get the answer .
11k
i got wat u wanna say!!!!!!
look then we have to find the equation of the diameter
through which the point (x,y) and (1,2) r equidstant
use the conditions in case of subjective
but be smart
and check the values
if say then give the options
1i ve a doubt how cud i write eqn of a prticular diameter therevr so many of them
11look the radius of circle is 2
and center is (2,3)
now what u kave to do is observe that this point is inside the circle
now u have to find the value of (x,y)
for this write the equation of the diameter of the circle and then write the equation of perpendicular to it
it will satisfy (x,y) and (1,2) which will be equidistant from the diameters
it is a good subjective question
but in case of objective u can check the values[1]