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: 11
        
The lengths of the perpendiculars from the focus and the extremities of a focal chord of a parabola on the tangent at the vertex form
A. HP
B. GP
C. AP
 
Answer is GP
10 months ago

Answers : (1)

Aditya Gupta
1145 Points
							
consider a parabola y^2=4ax; a>0, with focus (a,0) and tangent to the vertex being x=0
now, let a focal chord intersect the parabola at (at^2, 2at) and (ap^2, 2ap)
as this chord passes thru focus, we have
[2ap-2at]/[ap^2-at^2]=2ap/[ap^2-a]
or pt= –1
or p^2t^2=1
now, the lengths from the tangent at vertex are:
at^2, a, ap^2
we see that a/at^2=ap^2/a
so, the lengths are in GP
10 months 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