Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
Equation of directrix=ย x - y+1=0--------(i) ย
ย
Let the coordinate of focus = (a,b)
ย the axis of parabola is perpendicular to directrix.
So the equation of axis of parabola may be taken as x+y+k=0
it passes through ย (2,1)
โ 2+1+k=0
โ k=-3
โ the equation of axis of parabola is x+y-3=0---------------(ii)
Now, for the point of intersection of directrix and axis of parabola
On solving (i) and (ii), we get,
y = 2
put the value of y in (i), we get,ย
x = 1
Thus, the point of intersection of directrix and axis of parabolaย
(X, Y) = (1, 2)
Coordinates ofย
z = (1,2)
Vertex A (2,1) is the mid-point of focus andย
2 = (a+1)/2
a = 3
1 = (b+2)/2
b = 0
Coordinate of focus = (3,0)
Now you can simply get the equation of parabola by
PS = PM
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Win Gift vouchers upto Rs 500/-
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !