badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
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

                        

No of integer values of b for which origin and (1,1) lie on same side of the line ax2+ bya+1=0 for every a belong to real numbers

2 years ago

Answers : (1)

Arun
24742 Points
							
b is in (2, ∞) 

Justification: 

i) The given line is: a²x + (ab)y + 1 = 0 

ii) Plugging (0,0), it is: 1; thus origin (0, 0) is above the line. 
So the point (1, 1) also has to be above the line; 
==> a² + ab + 1 > 0 

Taking this a quadratic in a, a is in R, if and only if its discriminant is ≥ 0 
==> b ≥ 2 [as b is given > 0, only positive value is considered and b ≤ -2 is rejected]
2 years 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

  • 141 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