Click to Chat

1800-2000-838

+91-120-4616500

CART 0

• 0

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
`        how to find the equation of directrix if vertex is(1,-1)&focus is(2,3)`
6 years ago

510 Points
```										vertex(1,-1) , focus(2,3)       (given)
let directrix cuts the axis of parabola at (h,k) then
vertex is midpoint of line joining focus & point at which directrix cuts the axis of parabola...
from above statement , (h+2)/2 = 1        &   (k+3)/2 = -1
(h,k) = (0,-5)
slope of directrix is m & slope of axis is m1 then
mm1 = -1
m1 = 4/1 = 4
m = -1/4
now eq of directrix : (y+5) = (x-0)(-1/4)
x+4y+20 = 0              .................1
since eccentricity of parabola is 1 so
SP = ePM
distance of any point from directrix = e (distance of any point on parabola from focus)
x+4y+20/(17)1/2 = [(x-2)2+(y-3)2]1/2
this is the required eq
approve if u like my ans

```
6 years ago
Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View all Questions »
• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: Rs. 15,900
• View Details