PARABOLA..... NICE QUESTION..

consider a parabola....
we can usually draw three normals to it from an external point....
..FIND THE LOCUS OF ALL THOSE POINTS FROM WHICH ONLY TWO NORMALS CAN BE DRAWN ....

10 Answers

1
~AjInKyA~ ·

3 ???????
usually<<<<<<<<<< how cum.>>>>>>>.

1
skygirl ·

oops .. seriously sry....
editing dat...

1
~AjInKyA~ ·

normals 3 and locus of just 2 .
i dono witch metod bu i tink takin normal eqns
and simultaneosly solvin any 2 three times and then takin commun nos which satisfy all of em . but if it satisfy all of em then parabola haz 3 normals . itz a more weird sum where u got it >>>>?
or u made urself haaaaaaa >>>?<<

1
skygirl ·

no yaaar!! i havenot made it myself....
i can give the soln... but its a nice question... i liked it so i posted....
jus try a few more times.... its much of algebra rather than parabola :)

1
skygirl ·

no yaaar!! i havenot made it myself....
i can give the soln... but its a nice question... i liked it so i posted....
jus try a few more times.... its much of algebra rather than parabola :)

1
~AjInKyA~ ·

okok i jus coudnt think how 2 go ahead .>>>
it willlll b gud if ya posted>>>>>>>>>>><<<<<<<

62
Lokesh Verma ·

Try this...

there will be one repeated root

so take the roots as t,t,k

now proceed.

1
~AjInKyA~ ·

yes i tried lik this only naaaa
but i donno if anythins misssin it is somwher goin wrong
hav u got nishant >>>>>>>?

62
Lokesh Verma ·

yes dear..

take the roots of am2+2am-mh-k=0 as t,p,p

p+p+t=0
p.p+p.t+p.t=2-h/a
p.p.t=k/a

now eliminate t (substituing t=-2p in equation 2 and 3)

u get p2=(h/3a-2/3)

and p3=-k/a

so then eliminate p again.
(h/3a-2/3)3/2=-k/a

replace h,k by x,y

1
~AjInKyA~ ·

cool man tanx

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