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
tushar a Grade: 11
        

find radius of largest circle with centre (1,0)which can be inscribed in ellipse x^2 + 4y^2 =16

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear tushar


 x^2 + 4y^2 =16


point on the parabola(acosθ,bsinθ)=(4cosθ,2sinθ)


equation of normal of parabola


    axsecθ -bycosecθ =a2 -b2


 or 4 xsecθ - 2y cosecθ =12


it passes through (1,0)


 so secθ =3


  or cos θ =1/3


   sinθ =2 √2/3


 so point become (4cosθ,2sinθ)=(4/3,4 √2/3)


now find the distance between point (1,0) and (4/3,4 √2/3)  it will be radius  of circle.





Please feel free to post as many doubts on our discussion forum as you can.
 If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
 We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.


 All the best.
 
Regards,
Askiitians Experts
Badiuddin

7 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
Get extra Rs. 3,180 off
USE CODE: CART20
Get extra Rs. 297 off
USE CODE: CART20

Ask Experts

Have any Question? Ask Experts

Post Question

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