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
OCEAN GODRE Grade: 12
        

if a and b are real nos between 0 and 1 such tht the points (a,1) , (1,b) and(0,0) form an equilateral triangle thn find a and b??????

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

A,B,C are the vertices of triangle ...


A , B , C are (00) , (a,1) ,(1,b) respectively


vector AB =  (ai + j)  ,vector AC = (i + bj) & vector BC = ((1-a)i + (b-1)j)


now since the triangle is equilateral so


 magnitude of AB,BC,AC is equal


so , a2 + 1 = b2 +1 ........1


   a2+1 = (1-a)2 + (b-1)2 ...........2


solving these


  a=b =(2-sqrt3)

6 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