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
vardhan Grade: 12
        
A ladder of length L stands against a vertical wall. It is being slipped down against the wall. Find the locus of
(a) a point which divides ladder 2:3 internally from floor side.
(b) mid-point of ladder.
3 years ago

Answers : (1)

bharat bajaj
IIT Delhi
askIITians Faculty
123 Points
										a) Say the point on the ladder is C(x,y). The ends of the ladder are A(a,0) B(0,b). Here, a and b are not constants as the ladder is slipping down.
As C divides AB in 2:3,
x = 3a/5
y = 2b/5
As length of ladder is constant,
a^2 + b^2 = L^2
(x/3)^2 + (y/2)^2 = (L/5)^2
This is the locus. It is an ellipse.
b) Mid point of ladder :
D(x,y) is the midpoint.
x = a/2
y=b/2
As a^2 + b^2 = L^2
x^2 + y^2 = (L/2)^2
It is a circle.
Thanks
Bharat Bajaj
IIT Delhi
askiitians faculty
3 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

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