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If P(3,2) is one end of the focal chord PQ of the parabola y^2+ 4x + 4y =0, then the slope of the normal at Q is:
(A) 1/2. (B) 2. (C) 1/2. (D) 2
 one year ago
 one year ago
If P(3,2) is one end of the focal chord PQ of the parabola y^2+ 4x + 4y =0, then the slope of the normal at Q is: (A) 1/2. (B) 2. (C) 1/2. (D) 2
 one year ago
 one year ago

This Question is Closed

shubhamsrgBest ResponseYou've already chosen the best response.1
Whats your progress ?
 one year ago

DLSBest ResponseYou've already chosen the best response.0
\[\LARGE (y+2)^{2}=4(1x) \] so vertex=(1,2)
 one year ago

DLSBest ResponseYou've already chosen the best response.0
this diagram is not possible :/ acc to what im thinking..
 one year ago

DLSBest ResponseYou've already chosen the best response.0
\[\LARGE 2y \frac{dy}{dx}+4+4\frac{dy}{dx}=0\] i do everything i know :P because i dont know exactly what to do :o
 one year ago

DLSBest ResponseYou've already chosen the best response.0
\[\LARGE \frac{dy}{dx}=\frac{4}{2y+4}\]
 one year ago

DLSBest ResponseYou've already chosen the best response.0
for normal it will be .. \[\LARGE \frac{2y+4}{4}=\frac{8}{4}\] =2?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
okay, vertex is (1,2)
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
focus would have been (1,0) if vertex had been (0,0)
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
because of this shifting, new vertex = ?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
i mean new focus= ?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
shift (1,0) 1 unit to the right and 2 units down
 one year ago

DLSBest ResponseYou've already chosen the best response.0
that's what i wrote earlier :P
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
now you have eqn of line PQ
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
find coordinate of Q
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
P(3,2) F(2,2) slope = 4/5
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
so slope = 4/5 eqn of line = ?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
eqn of parabola = y^2 + 4x+ 4y =0 eqn of line = 5y + 4x + 2 =0 solve both to solve for Q
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
Note that you'll obtain 2 solutions from here, 1 should easily be (3,2)
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
So its easy, form a quadratic, use sum of roots thing, you already know (3,2) is a solution, just find other coordinate
 one year ago

DLSBest ResponseYou've already chosen the best response.0
abe yaar short method bata :P i took the wrong road nvm
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
Arey ho to gaya hai, bas Q nikalna hai,
 one year ago

DLSBest ResponseYou've already chosen the best response.0
why are we solving both the equations together? Q doesn't lie on parabola does it?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
Ofcorse it does! PQ is the focal chord
 one year ago

DLSBest ResponseYou've already chosen the best response.0
but P doesn't lie on parabola?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
Of course it does, what are you saying!
 one year ago

DLSBest ResponseYou've already chosen the best response.0
but logically when I saw.. Vertex=(1,2) P=(3,2) how big is the parabola :X
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
are you sleep deprived? o.O
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
I don;t understand your query
 one year ago

DLSBest ResponseYou've already chosen the best response.0
dw:1359795719275:dw how does it lie on the parabola? forget the substi. method for a while
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
dw:1359795779003:dw
 one year ago

DLSBest ResponseYou've already chosen the best response.0
that would happen if \[\LARGE y^2=4ax\]
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
So, shall we find Q now ?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
just forma quad, rest is easy
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
y^2 + 4x+ 4y =0 5y + 4x + 2 =0 =>4x = 5y 2 make that substitution
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
Okay, one root of this is 2,right ?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
use sum of roots or any other legit method, find other root.
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
actually we needn;t find x,
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
slope of normal = (2y+4)/4
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
tumhi ne to upar differentiate karke nikala tha
 one year ago

DLSBest ResponseYou've already chosen the best response.0
i dont want to live on this planet anymore
 one year ago

DLSBest ResponseYou've already chosen the best response.0
why did we do all this then?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
We had to find y coordinate of Q
 one year ago

DLSBest ResponseYou've already chosen the best response.0
\[\LARGE \frac{2y+4}{4}\]
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
4/(2y+4) ye tangent ka hai, right?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
slope of tangent * slope of normal = 1
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
abhi bhi confidence nahi aya?
 one year ago

DLSBest ResponseYou've already chosen the best response.0
dont say 1/2 dil tut jaega :'(
 one year ago

DLSBest ResponseYou've already chosen the best response.0
answer to wahi hai be :P 1/2
 one year ago

DLSBest ResponseYou've already chosen the best response.0
http://www.goiit.com/posts/list/geometrysimpleparabolaquestion14790.htm
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
usme kya uqes hai aur tumne kya copy kiya hai! :3
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
parabola ka eqn dekho
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
abe parabola ka eqn dekho
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
y^2 + 4x + 4y =0 tumne likha hai y^2 + 4x + 4 =0 hai
 one year ago

DLSBest ResponseYou've already chosen the best response.0
\[\LARGE \frac{4}{4+4}\] that s what i got in last in register
 one year ago

DLSBest ResponseYou've already chosen the best response.0
myequation is right!! 101% ques might be different..
 one year ago

DLSBest ResponseYou've already chosen the best response.0
issi Q ke hisb se 1/2 aya hai
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
ha, uska ans 1/2 hoga, lekin iska 1/2 hai.
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
kon se saal ka hai ?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
mujhe to nahi lag raha abhi tak kahi koi galti ki hai ?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
(y+2)^2 = 4(1)((x1) vertex = (1,2) focus was (1,0) for vertex (0,0) so new focus will be (0,2)
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
eqn of line = (y2) = m(x+3)
 one year ago

DLSBest ResponseYou've already chosen the best response.0
http://www.theparentingdad.com/wpcontent/uploads/2012/08/babyfacepalm.jpg
 one year ago

DLSBest ResponseYou've already chosen the best response.0
wait i didnt get the focus thing :/
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
focus (1,0) hoga y^2 = 4ax me
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
ham (1,0) like kar rahe the
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
y^2 + 4x + 4y =0 and 4x = 63y => y^2 + y 6 =0 1 ans hai 2, dusra ho jayega 3
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
ab slope of normal = 4/(2y+4) = 2 hahahha
 one year ago

DLSBest ResponseYou've already chosen the best response.0
par kya hai ke na focus wala part smaj nahi aya :P
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
ye ques repost karo firse, koi expert batayega, ise close kar do
 one year ago

DLSBest ResponseYou've already chosen the best response.0
do we have a greater expert than you ?:P
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
wo to dikh gaya, :3
 one year ago

DLSBest ResponseYou've already chosen the best response.0
BOLNA dhang se focus wala bus :'(
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
y^2 = 4ax ke type ka hai hamara eqn
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
waha focus (1,) hota hai jab vertex (0,0) hota hai.
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
yaha vertex (1,2) hai
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
to focus (1+1 , 02) = (0,2)
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
wait wait, 1/2 aa to raha hai!
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
(2y+4)/4 y=3 slope = 1/2
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
last me thora pagla gaya tha mai, ho to gaya, 1/2
 one year ago

DLSBest ResponseYou've already chosen the best response.0
"nahi hamara answer sahi hai :p "
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
focus toot gaya tha! :
 one year ago

DLSBest ResponseYou've already chosen the best response.0
mai kar raha hoon dubara bus hogaya..1m..BC 1 ghanta hogya :/
 one year ago

DLSBest ResponseYou've already chosen the best response.0
ahaaa maza agaya :P mast Q :P
 one year ago

DLSBest ResponseYou've already chosen the best response.0
chal lunch:P thanda hogaya :/
 one year ago
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