MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 12th pass
        
find the equation of parabola , when the vertex is(2,1) and directrix is x=y-1
10 months ago

Answers : (1)

Arun
14776 Points
							
Dear student
 

Equation of directrix= x - y+1=0--------(i)  

 

Let the coordinate of focus = (a,b)

 

 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  (2,1)

⇒ 2+1+k=0

⇒ k=-3

 

⇒ 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, 

x = 1

 

Thus, the point of intersection of directrix and axis of parabola 

(X, Y) = (1, 2)

Coordinates of 

z = (1,2)

 

Vertex A (2,1) is the mid-point of focus and 

z = (1,2)

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

10 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 1,590 off

COUPON CODE: SELF10


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 53 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Get Extra Rs. 148 off

COUPON CODE: SELF10

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details