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
Jayati Sindhu Grade: 12
        The parabolas y2=4ax and x2=4by intersect orthogonally at point P(x1,y1) where x1,y1 is not equal to 0 then find the relation between a and b. 

(A)b=a2
(B)b=a3
(C)b3=a2
(D)None of these
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Jayati


y2=4ax


x2=4by


solve the curve for point of intersection


 x1 =4(ab2)1/3


 y1 =4(ba2)1/3


now slope of tangent at these points are


slope on curve y2=4ax , m1 =2a/y1


slope on curve x2=4by , m2 =x1/2b


m1 * m2 =-1


 ax1/by1 =-1


 a4(ab2)1/3/b4(ba2)1/3=-1


  a2 +b2 =0


which is not possible


so option d is correct


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

Ask Experts

Have any Question? Ask Experts

Post Question

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