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:
        

Find the length of the latus rectum of the equation :


169{(x-1)^2-(y-3)^2}=(5x-12y+17)^2

7 years ago

Answers : (1)

ankitesh gupta
63 Points
							

169{(X-1)2-(Y-3)2}=(5X-12Y+17)2

13{(X-1)2-(Y-3)2}1/2=(5X-12Y+17)

13{(X-1)2-(Y-3)2}1/2=13(5X-12Y+17)/(52+122)1/2

{(X-1)2-(Y-3)2}1/2

.........................             =1                          (ESSENTRICITY OF PARABOLA IS 1 ) THIS IS A GENERAL FORM OF A PARABOLA WITH FOCUS (1,3) AND EQUATION                                                                

(5X-12Y+17)/(52+122)1/2                                              OF DIRECTRIX AS (5X-12Y+17) 

NOW PERPENDICULAR DISTANCE BETWEEN THE FOCUS AND THE DIRECTRIX IS = MODULUS OF [1*5-3*12+17]/{(52+122)1/2  }

DISTANCE =14/13  THEREFORE FROM THE DIAGRAM 2X=14/13       LENGTH OF LATUS RECTUM IS 4X THEREFORE LENGTH=28/13................ANSWER   

PLZZZZZ DO APPROVE THE ANSWER IF IT HELPED YOU BY CLICKING YES BUTTON      499_74742_Untitled 9.gif

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


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


Ask Experts

Have any Question? Ask Experts

Post Question

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