IMG_20190305_112758.jpg Sr plz solve it If the focus of the parabola is (-2,-1) and the equation of directrix is x+y=3. Then the coordinates of vertex are:

Answers (1)

@Mannika

Focus of parabola is (-2,-1)

equation of Directrix =  x + y = 3

vertex of the parabola is the mid-point of the line segment joining the focus to the intersection point of the axis and directrix

 

 The equation of the axis is x-y=\lambda\: \: i.e.\: \: -2-(-1)=\lambda \Rightarrow \lambda = -1

as axis is perpendicular to directrix and axis is passing via (-2, -1)

x-y+1=0

Point D is the intersection of Directrix and Axis (1, 2)

Thus V can be calculated

V is the midpoint of S and D

Let (h , k) be vertex.

Then 

\\h=\frac{-2+1}{2}\:\:,\:\:k=\frac{-1+2}{2}\\(h,k)=(\frac{-1}{2},\frac{1}{2}) 

Latest Asked Questions

Most Viewed Questions

Preparation Products

Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Knockout JEE Main (One Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 2999/- ₹ 1999/-
Buy Now
Knockout JEE Main (Twelve Months Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 19999/- ₹ 14499/-
Buy Now
Knockout JEE Main (Eight Months Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 15999/- ₹ 12499/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions